Consider function search(elm, low, high, myArray) that searches for the value elm in the array myArray between the indexes low and high and returns the index where elm is found in the array or returns -1 if not found.

For example, if myArray is [4, 7, 8, 9, 12, 56], then you have the following:

search(12, 0, 5, myArray) returns 4

search(10, 0, 5, myArray) returns -1

Now consider the linear and binary algorithms below for the function search:

Linear Search

Function search(elm,low,high, myArray)

index = low

While(index <= high)

If myArray[index] == elm then

Return index // found

Else index = index + 1

End While

Return -1 // not found

End Function

Binary Search

Function search(elm,low,high, myArray)

While(high >= low) then

mid = (low + high) / 2

If (myArray[mid] == elm

Return mid; // found

Else

If (myArray[mid] > elm) then // search in the left half

high = mid-1

Else // search in right half

Low = mid +1

End While

Return -1 // not found

End Function

Complete the following:

• How many iterations are performed in each algorithm for the function call search(12, 0, 6, myArray) if myArray = [2, 3, 6, 9, 12, 15, 19]?
• Which of these two algorithms runs faster?
• Why do you believe that one runs faster than the other?