
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 1 gram, 2 grams, 3 grams, and 5 grams weights, each available in one piece, you can measure weights from 1 gram to 11 grams. Some weights can be measured in more than one way; for example, 3 grams can be measured using the 3 grams weight or using both 1 gram and 2 grams weights. What is the minimum weight that requires using at least 3 weights to measure it?

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