
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 $a < b$, and both $a$ and $b$ are prime numbers, $n$ is an odd number. $a$, $b$, $n$ satisfy the equation $a + bn = 487$. Find the values of $a$, $b$, and $n$.

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