
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
You start with a number. Every second, you can add or subtract any number of the form \( n! \) to your current number to get a new number. In how many ways can you get from 0 to 100 in 4 seconds? (\( n! \) is defined as \( n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1 \), so \( 1! = 1, 2! = 2, 3! = 6, 4! = 24 \), etc.)

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