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] = Jim, 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 Iteration O M Index O Bot Top Mid X Amanda (b) x = Roy N Iteration O Index O Bot Top Mid X Roy