
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
There are 8 weights, each with a different integer weight in grams. You select any 4 weights, place two on the left side of a balance scale, and the other two on the right side. The scale will never balance, and the heaviest of the 4 weights will always be on the side that goes down. What is the minimum possible weight of the heaviest weight among the 8 weights?

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