
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 \( N_{0} \) be the set of all non-negative integers. A function \( f(n) \) is defined such that \( f: N_{0} \rightarrow N_{0} \) and for every \( n \in N_{0} \), it satisfies the equation \( f[f(n)]+f(n)=2n+3 \). Find \( f(1993) \).

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