
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 license plates can have two types: Type A with two letters followed by four digits, and Type B with four letters followed by two digits, and they are issued in equal proportions, calculate the percentage increase in the number of possible license plates compared to the previous system consisting of three letters followed by three digits.

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