
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 a set of weights consisting of 1 lb, 3 lb, 9 lb, and 27 lb, what is the heaviest object that can be weighed using these weights? Additionally, how many different objects (in terms of weight) can be weighed using any combination of these weights?
A) 39
B) 40
C) 41
D) 42

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