
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
Two people, A and B, take turns choosing numbers from the set of integers {1, 2, ..., 17}. The rules are: 
1. A number cannot be chosen if it has already been picked by either player.
2. A number cannot be chosen if it is double or half of a number already picked by either player.
3. The player who cannot choose a number loses.

Player A has already chosen the number 8. To ensure a win, which number should player B choose next?

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