
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 the sum of the first $n$ terms of an arithmetic sequence be $S_n$. If $S_m = \frac{m}{n}$ and $S_n = \frac{n}{m}$ ($m,n \in \mathbb{N}^*$ and $m \neq n$), find the relationship between $S_{m+n}$ and 4.

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