
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 company decides to issue special vehicle identification tags where each tag consists of a sequence of six characters. The characters are chosen from the four letters in TIRE and the four digits in 3003. Each character in the sequence must not appear more often than it does in the string "TIRE3003." Calculate how many unique tags can be produced if each possible sequence appears exactly once and find the result divided by 100.

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