
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 his belongings in an automatic storage locker and forgot the number required to retrieve them. He only remembers that the number contained the digits 23 and 37. The locker can only be opened with the correct five-digit number. What is the minimum number of numbers that need to be tried to definitely open the locker?

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