
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
Point P is on side AD and point Q is on side BC, where AD = 12 cm. Point P moves from A towards D at a speed of 1 cm/sec, while point Q moves from C towards B at a speed of 3 cm/sec and then reverses direction and moves back to C. Determine the number of times line segment PQ is parallel to line AB.

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