In this program, we will write a Python program to find the number that occurs an odd number of times in a given list of integers. We will use a simple approach and bitwise XOR operation to solve this problem efficiently.

## Problem Statement

Given a list of integers, where all numbers occur even times except for one number that occurs odd times, we need to find that number.

## Python Program to Find the Number Occurring Odd Number of Times in a List

def find_odd_occurrence(arr): result = 0 for num in arr: result ^= num return result input_list = list(map(int, input("Enter the list of integers separated by spaces: ").split())) odd_occurrence = find_odd_occurrence(input_list) print("The number occurring odd number of times is: {odd_occurrence}")

## How it works

- The program defines a function
`find_odd_occurrence`

that takes a list of integers as input. - Inside the function, a variable
`result`

is initialized to 0. We will use this variable to store the XOR of all elements in the list. - We iterate through each number in the list and perform a bitwise XOR operation with the
`result`

variable. - XOR has a property that if we XOR a number with itself, the result is 0. So, when all even occurrences are XORed, they cancel out and the remaining value is the number occurring an odd number of times.
- The final result is returned by the function.