Find the first N prime numbers. (Method 2)

Question: Given an integer N, find the prime numbers in that range from 1 to N. Input: N = 25 Output: 2, 3, 5, 7, 11, 13, 17, 19, 23 We discussed the most basic approach to find the first N prime numbers in this post. Find the first N prime numbers. (Method 1) Please go through the… Read More »

Find the first N prime numbers. (Method 1)

Question: Given an integer N, find the prime numbers in that range from 1 to N. Input: N = 25 Output: 2, 3, 5, 7, 11, 13, 17, 19, 23 Today let us discuss about a very common but very interesting problem “To find prime numbers in first N Natural numbers “. I will be taking here a… Read More »

Determine if 2 rectangles overlap

Question: You are given two axis-aligned rectangles. You have to determine if these rectangles overlap each other or not. Rectangle 1 : P1 (x, y), P2 (x,y) Rectangle 2 : P3 (x,y), P4 (x,y) In this problem statement, we are given co-ordinates for 2 rectangles and we have to determine if they overlap or not. In a way… Read More »

Reverse bits in an unsigned integer

Question: Given an unsigned Integer, you need to reverse its bits. There are several methods of reversing the bits of an unsigned integer. Here, we devise an algorithm using the XOR swap trick. Hint: How do you swap the ith bit with the jth bit? Try to figure out if you could use the XOR operation to do… Read More »

Easiest way to change case of alphabets

Here we will discuss the easiest and most simple way to change case of alphabets. Hint : We will be using bit hacks. Often during our programming needs we need to change the case of alphabets. This can be a problem requirement or simply our need to solve the question. There are several ways to do it, but… Read More »

Advanced level Bit Hacks

Here we shall discuss some high level Bit hacks that if used cleverly can really speed up your program execution time. We discussed some of the basic hacks in this post:- Low level bit hacks you must know. Please go through the post to get a little understanding of how the things work. Smart learners are anyways welcome… Read More »

Low level Bit Hacks that you must know

Here we shall discuss some very low level Bit hacks that can really speed up your program execution time when used effectively. Every now and then we see bit level operators. Bit hacks are ingenious little programming tricks that manipulate integers in a smart and efficient manner. Instead of performing some operation (such as counting the 1 bits… Read More »

Given a function that generates random number from 1-7, write a function that generates random numbers from 1-10.

Question: You are given a function rand7() – that generates random numbers from 1-7. Write a function rand10() – that uses rand7() to generate random numbers from 1-10. This appear to be one of those probabilistic analysis questions. You should be familiar with the concept of expected value, as it could be extremely helpful in probabilistic analysis. Hint:… Read More »

An array puzzle

Question: There is an array A[N] of N numbers. You have to compose an array Output[N] such that Output[i] will be equal to multiplication of all the elements of A[N] except A[i]. Solve it without division operator and in O(n). For example Output[0] will be multiplication of A[1] to A[N-1] and Output[1] will be multiplication of A[0] and… Read More »