Trace the action of the binary search algorithm on the variables index, bot, top, mid, and the given values of $x$ for the input array $a [1] = Chia, a [2] = Doug, a [3] = Jan, a [4] = J im, a [5] = Jose, a [6] = Mary, a [7] = Rob, a [8] = Roy, a [9] = Sue, a [10] = Usha,$ where alphabetical ordering is used to compare elements of the array. (a) $x =$ Amanda (b) $x =$ Roy

Question

Trace the action of the binary search algorithm on the variables index, bot, top, mid, and the given values of

x

for the input array

a [1] = Chia, a [2] = Doug, a [3] = Jan, a [4] = J im, a [5] = Jose, a [6] = Mary, a [7] = Rob, a [8] = Roy, a [9] = Sue, a [10] = Usha,

where alphabetical ordering is used to compare elements of the array. (a)

x =

Amanda (b)

x =

Roy

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