Python Program for Finding Maximum Number Of Handshakes

November 15, 2021

Maximum Number Of Handshakes in Python

Here, in this page we will discuss the program to find the maximum number of handshakes in python.

For the number of handshakes to be maximum, every person should shakehand with every other person in the room i.e all persons present should shake hands. For the first person, there would be N-1 people to shake hands. For second person there would N-1 people available but as he had already shaken hands with the first person, there would be N-2 people to shake hands and so on.

Therefore the total number of handshake = (N-1 + N-2 +….+ 1 + 0)=((N-1)*N)/2.

Algorithm

Step 1:- Start.
Step 2:- Take user input for number of people.
Step 3:- Use formula N x [ (N-1)/2 ].
Step 4:- Print maximum number of handshakes.
Step 5:- End.

Python program

#take user inputs
N = int(input('Enter number of people available :'))
#formula
no_of_handshakes = int(N *((N-1)/2))
#print number of no_of_handshakes
print('Maximum number of handshakes can be :' + str(no_of_handshakes))

Output:
Enter number of people available :30
Maximum number of handshakes can be :435