
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
If 105 customers purchased a total of 300 cans of soda, with every customer purchasing at least one can of soda, determine the maximum possible median number of cans of soda bought per customer that day.

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