
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
A line passes through the point P(1, 4) such that its intercepts on the coordinate axes are positive, and the sum of the intercepts is the smallest possible. Find the equation of this line.

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