Medianof3 Method
The medianof3 method is a pivot selection strategy used by some sorting algorithms such as quicksort. It helps avoid poor pivots by choosing the median of the first, middle, and last elements as the pivot.
The algorithm is:
Consider first, middle and last elements of array
Sort them and pick median value as pivot
Proceed with partitioning algorithm using chosen pivot
Java example:


C++ example:


Python example:


Medianof3 helps improve pivot selection and performance of quicksort, especially on nearly sorted data.
The medianof3 method is a technique commonly used to improve the efficiency of sorting algorithms, notably Quicksort. The idea is to select a pivot by taking the median of the first, middle, and last elements of the array. This approach aims to minimize the chances of choosing a bad pivot, thus reducing the likelihood of experiencing the worstcase time complexity. The key takeaway is that the medianof3 method improves the average case performance by making a more informed choice of the pivot.
Java Code for Medianof3 Method
In Java, you can implement the medianof3 method like this:


 The
median
function takes three integersa
,b
, andc
, and returns the median among them.
C++ Code for Medianof3 Method
In C++, the implementation could look something like this:


 The
median
function uses the<algorithm>
header to find the maximum and minimum amonga
,b
, andc
and then calculates the median.
Python Code for Medianof3 Method
In Python, you can implement the medianof3 method as follows:


 The
median
function uses Python’s builtinmax
andmin
functions to find the maximum and minimum values amonga
,b
, andc
.
In each implementation, the function calculates the median by summing the three numbers and subtracting the maximum and minimum. This leaves the median, which is then returned. This operation is often used as a prestep in sorting algorithms like Quicksort to choose a better pivot.