In this problem, we are given a number N. Our task is to find all prime numbers smaller than N using Bitwise Sieve.Bitwise sieve is an optimized version of Sieve of Eratosthenes which is used to find all prime numbers smaller than the given number.Let’s take an example to understand the problem, Input − N = 25Output − 2 3 5 7 11 13 17 19 23The bitwise sieve works in the same ways as the normal sieve. It just we will use the bits of integers of represent primes instead of a boolean type. This will reduce the space ... Read More

In this problem, we are given an array bin[] of size n of binary strings. Our task is to create a program to find the Bitwise OR (&) of n binary strings.Here, we will take all numbers and find the bitwise AND of them i.e. bin[0] | bin[1] |... bin[n-2] | bin[n]Let’s take an example to understand the problem, Input −bin[] = {“1001”, “11001”, “010101”}Output −011101Explanation − Bitwise OR of all binary string −(1001) | (11001) | (010101) = 011101To solve this problem, We will simply find the string with the largest number of bits (max length string). Then we ... Read More

In this problem, we are given two integer values a and b. And our task is to find the bitwise OR (|) of range from a to b. This means we will have to find the value of a | a+1 | a+2 | … b-1 | b.Let’s take an example to understand the problem, Input − a = 3 , b = 8Output − 15Explanation − 3 | 4 | 5 | 6 | 7 | 8 = 15To solve the problem, a simple solution is starting from a and find bit-wise OR of all numbers by increasing one ... Read More

In this problem, we are given an array arr[] of size n and an integer k. Our task is to find the subarray within from index i to j and compute bitwise AND of all its elements. After this print minimum value of abs(K- (bitwise AND of subarray)).Let’s take an example to understand the problem, Input − arr[] = {5, 1}, k = 2Output −To solve the problem, there can be a few methods.One simple solution will be using the direct method. By finding bitwise AND for all sub-arrays then finding the |K-X|.Step 1 − Find the bitwise AND for ... Read More

In this problem, we are given two integer values a and b. And our task is to find the bitwise and (&) of range from a to b. This means we will have to find the value of a & a+1 & a+2 & … b-1 & b.Let’s take an example to understand the problem, Input − a = 3 , b = 8Output − 0Explanation − 3 & 4 & 5 & 6 & 7 & 8 = 0To solve the problem, a simple solution is starting from a and find bitwise and of all numbers by increasing one ... Read More

Let’s first recall the about bits and the bitwise operator is short.Bit is a binary digit. It is the smallest unit of data that is understandable by the computer. In can have only one of the two values 0 (denotes OFF) and 1 (denotes ON).Bitwise operators are the operators that work a bit level in the program.These operators are used to manipulate bits in the program.In C, we have 6 bitwise operators −Bitwise AND (&)Bitwise OR (OR)Bitwise XOR (XOR)Bitwise left Shift (>)Bitwise not (~)https://www.tutorialspoint.com/cprogramming/c_bitwise_operators.htmNow, let’s learn some important tactics i.e. things that can be helpful if you work with bits.Swap ... Read More

The bitonic sort is a parallel sorting algorithm that is created for best implementation and has optimum usage with hardware and parallel processor array.It is not the most effective one though as compared to the merge sort. But it is good for parallel implementation. This is due to the predefined comparison sequence which makes comparisons independent of data that are to be sorted.For bitonic sort to work effectively the number of elements should be in a specific type of quantity i.e. the order 2^n.One major part of the bitonic sort is the bitonic sequence which is a sequence whose elements ... Read More

First, we will learn about bitmasking and dynamic programming then we will solve a problem related to it that will solve your queries related to the implementation.Bitmask also known as mask is a sequence of N -bits that encode the subset of our collection. The element of the mask can be either set or not set (i.e. 0 or 1). This denotes the availability of the chosen element in the bitmask. For example, an element i is available in the subset if the ith bit of mask is set. For the N element set, there can be a 2N mask ... Read More

Given a binary array arr[] and two variables a and b with some initial values. To cross an element in the array arr[] there are two ways −If arr[i] == 1, then 1 unit can be used from a, with no change in b. If 1 unit is used from b, then a increases by 1 unit. (Note that the value of a cannot be incremented above its original value.)If arr[i] == 0, then 1 unit can be used from a or b.Let’s now understand what we have to do using an example −Inputarr[] = {0, 0, 0, 1, 1}, ... Read More

Given the task is to find the maximum number of elements that can be made equal in a given array after incrementing its elements by at-most k times.Let’s now understand what we have to do using an example −Inputa[] = {1, 3, 8}, k = 4Output2ExplanationHere we can obtain two fours by incrementing 1 three times and incrementing 3 four times, that makes a[] = {4, 4, 8}Inputarr = {2, 5, 9}, k = 2Output0Approach used in the below program as followsIn main() function initialize int a[], size and k to store the array elements, size of array and the ... Read More