Question: Let w = w 1 w 2 . . . wn 1 wn be any string of length n in { 0 , 1 }

Let w = w1w2...wn1wn be any string of length n in {0,1}*. We define a language Lw as follows. Lw ={x | x = wi wi+1...wj1 wj , and 1 i j n}. Find the minimum number of states in a non-deterministic finite automaton (NFA) that accepts Lw. Prove your result.

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