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:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Blue Red Orange Orange Red Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Yellow Yellow Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Yellow Green Red Black Black Black Black Black Black
Black Black Black Orange Orange Black Red Black Black Blue Green Red Red Black Black Black Black
Black Black Black Orange Orange Black Black Purple Black Pink Gray Red Red Black Black Black Black
Black Black Gray Gray Gray Gray Black Black Purple Purple Gray Black Black Black Black Black Black
Black Black Gray Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Blue Red Yellow Yellow Red Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Yellow Yellow Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Yellow Yellow Red Black Black Black Black Black Black
Black Black Black Orange Orange Black Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black
Black Black Black Orange Orange Black Black Purple Yellow Yellow Yellow Red Red Black Black Black Black
Black Black Gray Yellow Yellow Gray Black Black Purple Purple Gray Black Black Black Black Black Black
Black Black Gray Yellow Yellow Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Gray Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Brown Pink Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Brown Pink Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Blue Gray Pink Pink Black Blue Gray Blue Gray Blue Black Black
Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Green Pink Blue Gray Blue Pink Green Black
Black Black Black Gray Yellow Purple Purple Yellow Black Black Black Green Gray Gray Black Gray Gray Green Black
Black Black Blue Gray Purple Yellow Yellow Brown Black Black Black Blue Gray Gray Black Gray Gray Blue Black
Black Black Black Black Black Black Black Black Black Black Black Red Gray Red Red Red Gray Red Black
Black Black Black Black Black Black Black Black Black Black Black Red Gray Pink Pink Pink Gray Red Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Pink Red Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black
Black Black Black Yellow Blue Black Gray Gray Black Black Pink Brown Green Green Brown Pink Black Black
Black Black Black Green Yellow Red Yellow Gray Black Black Green Yellow Yellow Yellow Yellow Green Black Black
Black Black Black Gray Yellow Yellow Yellow Black Black Black Pink Brown Green Green Brown Pink Black Black
Black Black Black Gray Yellow Yellow Yellow Black Black Black Purple Black Black Black Black Purple Black Black
Black Black Black Green Yellow Red Yellow Gray Black Black Brown Black Black Black Black Brown Black Black
Black Black Black Yellow Blue Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue Gray Blue Black Black Black Black Black
Black Black Pink Pink Red Red Pink Pink Black Black Black Purple Yellow Blue Black Black Black Black Black
Black Pink Black Pink Yellow Yellow Pink Black Pink Black Black Yellow Yellow Blue Black Black Black Black Black
Black Black Black Blue Yellow Yellow Blue Black Black Black Purple Yellow Yellow Black Black Black Black Black Black
Black Black Black Blue Yellow Yellow Blue Black Black Black Purple Yellow Yellow Black Black Black Black Black Black
Black Pink Black Pink Yellow Yellow Pink Black Pink Black Black Yellow Yellow Blue Black Black Black Black Black
Black Black Pink Pink Red Red Pink Pink Black Black Black Purple Yellow Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue Gray Blue Black Black Black Black Black
Black Pink Blue Orange Blue Black Blue Orange Blue Pink Black Black Black Black Black Black Black Black Black
Black Blue Yellow Yellow Yellow Pink Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black Black
Black Black Purple Yellow Yellow Yellow Yellow Yellow Purple Black Black Yellow Black Yellow Black Black Black Black Black
Black Black Black Red Yellow Pink Yellow Red Black Black Brown Yellow Yellow Yellow Brown Black Black Black Black
Black Black Black Red Pink Black Pink Red Black Black Brown Yellow Yellow Yellow Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant