
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
Find all numbers consisting of three different digits, each of which is divisible by the square of the sum of its digits. For example, the number 112 would have a sum of digits equal to 4, the square of which is 16, and 112 is divisible by 16. However, 112 is not made of three different digits.

Can you find all possible solutions to this problem?

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