
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
As shown in the diagram, the center of a circle with radius 1 is located at the origin of the coordinates. Point P starts from point A(1,0) and rotates counterclockwise at a constant speed along the circumference of the unit circle. It is known that the angle θ (0＜θ＜π) is covered by point P in 1 second. After 2 seconds, it reaches the third quadrant, and after 14 seconds, it returns exactly to the starting point A. Find the value of θ.

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