
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
Júlia's house number has exactly three digits, and their sum is 24. Find all possible house numbers for Júlia in each of the following situations.

(a) All three digits are the same.

(b) Only two of the digits are the same.

(c) All the digits are different.

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