A bar of chocolate consists of n ≥ 2 connected pieces. A component is a portion of the original bar consisting of fewer than n pieces. A component consisting of only 1 piece may not be divided further. A break is the act of splitting the bar or a component of the bar into exactly 2 smaller components. For instance, the 1st break separates the bar into 2 components each containing fewer than n pieces. Use strong induction to show that n − 1 breaks are required to separate all of the chocolate pieces from each other.

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