
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
Sinbad has 11 identical-looking dinars in his purse, among which there may be one counterfeit dinar that differs in weight (though it's unknown whether it is heavier or lighter). How can he pay the merchant with eight genuine dinars if the merchant allows him to use balance scales twice (but without any weights)?

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