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PROBLEM OF THE DAY : 29/02/2024 | Sum of bit differences

 6 months ago
source link: https://www.geeksforgeeks.org/videos/problem-of-the-day-29022024-sum-of-bit-differences/
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PROBLEM OF THE DAY : 29/02/2024

March 01, 2024 |1.2K Views
PROBLEM OF THE DAY : 29/02/2024 | Sum of bit differences
Problem of the Day, Data Structures and Algorithms, bit-magic
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Description
Discussion

Welcome to the daily solving of our PROBLEM OF THE DAY with Yash Dwivedi. We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Bit Manipulation but also build up problem-solving skills.

In this problem, we are given an array of integers arr[], containing n elements, and find the sum of bit differences between all pairs of elements in the array. The bit difference of a pair (x, y) is the count of different bits at the same positions in binary representations of x and y.
For example, the bit difference between 2 and 7 is 2. The binary representation of 2 is 010 and 7 is 111 respectively and the first and last bits differ between the two numbers.

Note: (x, y) and (y, x) are considered two separate pairs.

Example :

Input: 
n = 2
arr[] = {1, 2}
Output: 4
Explanation: All possible pairs of an array are (1, 1), (1, 2), (2, 1), (2, 2). Sum of bit differences = 0 + 2 + 2 + 0 = 4

Give the problem a try before going through the video. All the best!!!
Problem Link: https://www.geeksforgeeks.org/problems/sum-of-bit-differences2937/1
Solution IDE Link: https://ide.geeksforgeeks.org/online-cpp14-compiler/fa21ca66-fcc4-470c-b0cf-61beb565aabe

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