Let be ⊕ a binary operation on N. This is true about ⊕. 1. ∀a ∈ N, a ⊕ 0 = 0 2. ∀a, b ∈ N, a ⊕ b = b ⊕ a 3. ∀a, b ∈ N, a ⊕ b ∈ N 4. ∀a, b ∈ N, a ⊕ (a ⊕ b) = a ⊕ a ⊕ a ⊕ b

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Q: {w € [a, b]* : every a in w is immediately preceded and followed by b}

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Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.