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Alice, along with $N$ of her friends, visited a bakery. There, Alice initially bought $C$ cookies, and the $i$-th friend bought $A_i$ cookies. Alice is quite competitive, so she'll only be happy if: 1. **At least one** friend has **strictly less** cookies than her; and 2. **No other** friend has **equal** cookies to her. What's the minimum number of extra cookies Alice must buy, to ensure that
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solution.cppC++17
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