classifies numbers into one of four categories: Happy Prime, Sad Prime, Happy Non-Prime, or Sad Non-Prime, based on their primality and happiness status. This Python program classifies numbers into one of four categories: Happy Prime, Sad Prime, Happy Non-Prime, or Sad Non-Prime, based on their primality and happiness status.
Primality Check: The is_prime function determines if a number is prime. Numbers less than 2 are not prime. The function efficiently checks divisibility for numbers greater than 3, ruling out non-prime numbers early.
Happiness Check: The is_happy function checks if a number is a happy number. A number is happy if the sum of the squares of its digits repeatedly leads to 1. The function uses a set to track visited numbers to detect loops.
Classification: The classify_number function uses is_prime and is_happy to classify a number into one of four categories: Happy Prime (a prime number that is also happy), Sad Prime (a prime number that is not happy), Happy Non-Prime (a non-prime number that is happy), or Sad Non-Prime (a non-prime number that is not happy).
User Interaction: The program prompts the user to enter a positive integer and uses the classify_number function to classify it, printing the result. The loop continues until the user enters '0' to exit. It handles invalid inputs gracefully, prompting the user to enter a positive integer in case of a ValueError.
This code combines mathematical concepts of primality and happiness of numbers with interactive input to provide an educational tool that explores number theory properties.
React
Typescript
Django
Laravel
Facebook
Microsoft
Google
Alibaba
D3
Tencent