
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
An archer in a shooting range was given the following conditions: each hit in the target is rewarded with five tokens, but for each miss, three tokens are taken away. The archer was not very accurate. After the last ($n$-th) shot, he had no tokens left. From how many shots did the series consist, and how many successful hits were there, if $10 < n < 20$?

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