10. (10 points) Two people, A and B, take turns selecting numbers from the integers 1 to 17, with the rule: they cannot select numbers that have already been chosen by either party, they cannot select a number that is twice an already chosen number, and they cannot select a number that is half of an already chosen number. The person who cannot select a number loses. Now, A has already chosen 8, and B wants to ensure a certain win. The number B should choose next is $\qquad$

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Please note that the blank space at the end (indicated by $\qquad$) is part of the original format and has been retained in the translation.
【Answer】Solution:
According to the above analysis, if B chooses 6, then A cannot choose 3 or 12 anymore. The following six pairs can be chosen randomly.
5, 10
7, 14
$1, 2$
9
11
13
15
17
Therefore, the answer to this question should be 6.