
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
Let two convex polygons \( P_1 \) and \( P_2 \) be drawn in the same plane, where \( P_1 \) is a square (4 sides) and \( P_2 \) is a decagon (10 sides). If \( P_1 \) is inscribed within \( P_2 \), and four vertices of \( P_2 \) coincide with the vertices of \( P_1 \), calculate the maximum possible number of intersections between the edges of \( P_1 \) and \( P_2 \).
A) 0
B) 4
C) 8
D) 16

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