
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
One day, a beverage warehouse sold 252 cans of soda to 100 customers, and each customer bought at least one can of soda. What is the maximum possible median number of cans of soda purchased by each customer?

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