
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
Seven coins, each with a distinct weight from 1 to 7 grams, are arranged in a certain order. For each coin (except the ones on the ends), the sum of the weights of its neighboring coins is given. What is the maximum number of coins for which we can determine the weight with certainty?

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