
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 of 1 lb, 3 lb, 9 lb, and 27 lb, determine:
1. The heaviest object that can be weighed using these weights.
2. The number of different weights that can be measured using combinations of these weights.
A) 35 lb, 35 weights
B) 40 lb, 40 weights
C) 39 lb, 39 weights
D) 45 lb, 45 weights

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