
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
Using the digits 1 through 9 to form three three-digit numbers \( \mathbf{a} \), \( \mathbf{b} \), and \( \mathbf{c} \) (each digit can be used only once), what is the maximum value of \( a + b - c \)?

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