Question: 1. Design an NFA for all strings over the alphabet a, b such that all strings starting with a pair of the same symbol must

1. Design an NFA for all strings over the alphabet a, b such that all strings starting with a pair of the same symbol must end with with a pair of the other symbol (e.g., aababb, bbaa, etc). 2. Design an NFA for all strings over the alphabet a, b, x, y such that; if it starts with a, it must have xyxyx in it, possibly more than once. if it starts with b, it must either end with xx or yy.

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