
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
A passenger left items in an automatic locker and forgot the number when returning to retrieve them. They only remember that the number contained the digits 23 and 37. To open the locker, a correct five-digit number must be entered. What is the minimum number of combinations that need to be tried to surely open the locker?

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