
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
Given Michael picks three different digits from the set {1, 2, 3, 4, 5} and forms a mixed number by placing the digits in the spaces of \(\square\), find the difference between the largest and smallest possible mixed number that can be formed.

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