
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
The Soda Shop sold 312 cans of soda to 120 customers, where each customer bought at least two cans of soda. Calculate the maximum possible median number of cans of soda bought per customer on that day.

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