
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
In the addition of three-digit numbers $\frac{+d e f}{g h i}$ where $a, b, c, d, e, f, g, h, i$ are composed of 1, 2, 3, 4, 5, 6, 7, 8, 9 exactly once, find the solutions that make $g h i$ the largest and the smallest.

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