
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 one book it was written: "Write the number 24 using three identical digits other than 8. (There are two solutions to this problem.)"

Two answers were given: $22+2=24$ and $3^{3}-3=24$. Readers familiar with the old puzzle "Four Fours" and other puzzles of this kind may ask why there are only the two solutions mentioned above. Perhaps you can find more?

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