
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 that Li Ming mistakenly read the units digit of \(a\) as 1 instead of 7 and got a product of 255, and Wang Ning mistakenly read the tens digit of \(a\) as 6 instead of 5 and got a product of 335, calculate the correct product of \(a \cdot b\).

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