Complete the proof of the first part of Theorem 17.16. Let n Z+, n > 2.

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Complete the proof of the first part of Theorem 17.16.
Let n ∈ Z+, n > 2. If p is a prime and n = p΄, for t ∈ Z+, then there are n - 1 Latin squares that are n × n and orthogonal in pairs.
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