
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
Let
\[S = \frac{1}{2-\sqrt{3}} - \frac{1}{\sqrt{3}-\sqrt{2}} + \frac{1}{\sqrt{2}-1} - \frac{1}{1 - \sqrt{3} + \sqrt{2}}.\]
Determine \( S \).
A) 0
B) 1
C) 2
D) 3

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