
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 new set of weights consisting of 1 lb, 3 lb, 9 lb, and 27 lb, what is the maximum weight of an object that can be weighed with these weights? Also, determine how many different weights (in lb) can be measured using any combination of these weights.
A) 39 different weights
B) 40 different weights
C) 41 different weights
D) 42 different weights

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