
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
There is a round rotating table with 16 sectors, labeled in a circular sequence with the numbers $0, 1, 2, \ldots, 7, 8, 7, 6, \ldots, 2, 1$. Seated around the table are 16 players, numbered in order. After each rotation of the table, each player receives as many points as the number on the sector in front of them once the table stops. After 13 rotations, player number 5 accumulated a total of 72 points, and player number 9 accumulated a total of 84 points. How many points did player number 1 accumulate?

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