Definition 1: A sandwich is two or more pieces of bread stacked on top of one another. Eg. two pieces of bread stacked together is a 'sandwich'.
Definition 2: Two slices of bread NOT adjacent to each other forms a sandwich. Eg. a bread stack of 4 slices contains 3 sandwiches.
In a loaf of bread with N slices of bread, N being an integer, how many sandwiches are there according to Definition 1? Definition 2?
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