
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Define the set \( G \) consisting of points \( (x, y) \) with integer coordinates, where \( 1 \le |x| \le 7 \) and \( 1 \le |y| \le 7 \). How many squares of side at least 6 have their four vertices in the set \( G \)?
**A)** 10  
**B)** 16  
**C)** 20  
**D)** 24  
**E)** 28

Present the answer in LaTex format: \boxed{Your answer}
user