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Question 1. Let H : {0, 1}* →→ {0,1}" be a hash function that achieves
the one-way and collision resistance security properties.
(a).
Let LSB(x) denote the least significant bit of string x and
|| denote the concatenation of two strings. We define the following
function H': {0, 1}* {0,1}+¹ as
H'(x) = H (x)||LSB(x).
Show that the new function H' achieves collision resistance.

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