
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
A jeweler made an open chain consisting of $N>3$ numbered links. A capricious client demanded to change the order of the links in the chain. Out of spite, she ordered such an open chain to make the jeweler open as many links as possible. How many links will need to be opened?

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