
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
If $n$ is a positive integer, define $n! = n \times (n-1) \times (n-2) \times \ldots \times 3 \times 2 \times 1$. Let $m = 1! + 2! + 3! + 4! + \ldots + 2003! + 2004!$, then the sum of the last two digits of $m$ is.

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