
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 the line $l$: $\frac{x}{a} + \frac{y}{b} = 1 (a > 0, b > 0)$, which passes through the point $(1, 2)$, the minimum value of the sum of the intercepts on the $x$-axis and $y$-axis is $\_\_\_\_\_\_.$

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