
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
Given the hyperbola C: $$\frac {x^{2}}{a^{2}}$$ - $$\frac {y^{2}}{b^{2}}$$ = 1 (a > 0, b > 0) with an eccentricity of e, if the points (e, 1) and (-$$\sqrt {3}$$, $$\sqrt {2}$$) both lie on the hyperbola C, then the distance from one of the focus of the hyperbola to its asymptote is _____.

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