
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
Suppose the moduli of $z_1$, $z_2$, and $z_3$ are all $\sqrt {2}$, then the value of $$\frac {| \frac {1}{z_{1}}+ \frac {1}{z_{2}}+ \frac {1}{z_{3}}|}{|z_{1}+z_{2}+z_{3}|}$$ is \_\_\_\_\_\_.

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