
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
Evaluate the sum of the last two digits of the series given by the Fibonacci sequence factorial sum: $1! + 1! + 2! + 3! + 5! + 8! + 13! + 21! + 34! + 55! + 89! + 144! + 233! + 377! + 610! + 987! + 1597! + 2584!$.

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