
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
The value of  $ 21!$  is  $ 51{,}090{,}942{,}171{,}abc{,}440{,}000$ , where  $ a$ ,  $ b$ , and  $ c$  are digits.  What is the value of  $ 100a \plus{} 10b \plus{} c$ ?

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