
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
The picture shows two combination locks. The lock will open if different digits are written in the circles so that the number inside each triangle matches either the sum or the product of the digits at its vertices. What combination of a) four b) five different digits will open the lock?
a)

[Image]

b)

[Image]

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