
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 5 weights that look identical but have different masses. You are allowed to randomly select 3 weights \(A, B, C\) and ask, "Is \(m(A) < m(B) < m(C)\)?" (where \(m(x)\) represents the mass of weight \(x\)). The response will only be "yes" or "no". Calculate the minimum number of such inquiries needed to determine the correct order of the weights by mass.

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