
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 that f(x) = log_a(x-1) + 1 (a > 0 and a ≠ 1) always passes through point M, and point M lies on the line x/m + y/n = 1 (m > 0, n > 0), find the minimum value of m + n.

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