
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 comprising 1 lb, 4 lb, and 9 lb, determine the maximum weight that can be measured using this set, and how many different weights can be achieved using any combination of these weights, where any individual weight can be used at most once.
A) 14 lb and 6 weights
B) 13 lb and 7 weights
C) 14 lb and 7 weights
D) 15 lb and 8 weights

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