
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
Given that each old permit consists of two letters followed by three digits, and each new permit consists of four letters followed by four digits, calculate the ratio of the number of possible new permits to the number of possible old permits.

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