
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 siblings sold their flock of sheep. Each sheep was sold for as many florins as the number of sheep originally in the flock. They divided the revenue by giving out 10 florins at a time. First, the elder brother took 10 florins, then the younger brother, then the elder again, and so on. In the end, the younger brother received less than 10 florins, so the elder brother gave him his knife, making their earnings equal. How much is the knife worth in florins?

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