
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 license plate consisted of a letter followed by four digits and each new license plate consists of three letters followed by three digits, calculate the ratio of the number of possible license plates under the new scheme to the number of possible license plates under the old scheme.

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