sudhir sharma

sudhir sharma

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Articles by sudhir sharma

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XOR of Prime Frequencies of Characters in a String in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 253 Views

In this problem, we are given a string of characters, our task is to print the XOR of frequencies of characters of the string whose frequency of occurrence is a prime number.Let’s take an example to understand the problem, Input − TutorialsPointOutput −Here, we will check the frequency of occurrence of each character of the string and then find XOR of all the characters whose frequency is a prime number. For this will create an array of prime frequencies. Then we will store frequencies of characters of a string in a map and then matching with prime frequency array. If ...

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XOR of the path between any two nodes in a Binary Tree in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 383 Views

In this problem, we are given a binary tree and two nodes of the binary tree. Our task is to print the XOR of all nodes that come in the path between the two nodes.Let’s take an example to understand the problem, We need to find the xor of all nodes between 2 and 3.The path from 2 to 3, 2 → 6 → 1 → 3.We will find 2^3^1^3.Output −To solve this problem, we need to find the paths from one to another node. For this, we will find the XOR of all nodes in the path from the ...

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XOR of all the nodes in the sub-tree of the given node in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 351 Views

In this problem, we are given an n tree and there are some queries that are nodes of the tree. Our task is to print the XOR of all nodes of the sub-tree formed by the given node.Let’s take an example to understand the problem, Queries − {1, 6, 5}Output −0 0 5Explanation −1^6^3^2^4^7^5 6^2^4 5To solve this problem, we will compute the xor of all nodes of the sub-tree by traversing the tree once and store it. Now, we will compute the xor of all nodes of the sub-tree if the child nodes and then computing for all given ...

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XOR of all the elements in the given range [L, R] in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 731 Views

In this problem, we are given two integer L and R denoting a range. Our task is to find xor of all elements within the range [L, R].Let’s take an example to understand the problem, Input − L=3, R = 6Explanation − 3^4^5^6 =To solve this problem, we will find the MSB of R. the MSB of the answer will not be greater than R. Now, we will find the parity of count of the number of bits from 0 to MSB.Now, to find the parity count for an ith bit, we can see that the state of an ith ...

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XOR of all subarray XORs in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 549 Views

In this problem, we are given an array of n elements. Our task is to print XOR of XORs all possible subarrays (taken in order) created from elements of the array.Let’s take an example to understand the problem, Input − array = {1, 3, 6, 8}Output − 0Explanation −(1) ^ (3) ^ (6) ^ (8) ^ (1^3) ^ (3^6)^ (6^8) ^ (1^3^6) ^ (3^6^8) ^ (1^3^6^8)To solve this problem, a simple solution could be iterating over all the subarray and find xors. But this is an inefficient approach. A better approach could be counting the frequency of each element of ...

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XOR of all Prime numbers in an Array in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 310 Views

In this problem, we are given an array of n elements. Our task is to print xor of all prime numbers of the array.Let’s take an example to understand the problem,Input − {2, 6, 8, 9, 11}Output −To solve this problem, we will find all the prime numbers of the array and the xor them to find the result. To check if the element is prime or not, we will use sieve’s algorithm and then xor all elements that are prime.ExampleProgram to show the implementation of our solution,#include

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Print 2-D co-ordinate points in ascending order followed by their frequencies in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 238 Views

In this problem, we are given 2 arrays x[] , y[] such that (x, y) gives a cordinate of a point in 2D plane. Our task is to print all points along with their frequencies of occurence.Let’s take an example to understand the problemInput: x[]={0, 1, 1, 0, 0} ; y[]={1, 2, 2, 2, 1} Output (0, 1) = 2 (1, 2) = 2 (0, 2) = 1To solve this problem, we need to store frequency of occurence of each point. So this we need to use map data-structure. The key of the map is (x[i], y[i]), mapped value is ...

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Print Kth least significant bit of a number in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 474 Views

In this problem, we are given two numbers n and k. Our task is to print the kth least significant bit of the number n.Let’s take an example to understand the problemInput: n = 12 , k = 3 Output 1 Explanation: Let’s see the binary representation of n: 12 = 1100Now, 3rd least significant bit is 1.To solve this problem we will use the binary bits of the number. And yield the kth bit of the number. For this, we will use binary shifting of the number and left-shift the number (k-1) times. Now on doing end operation of ...

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Primorial of a number in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 554 Views

In this problem, we are given a number n. Our task is to print its primorial number.Primorial number (Pn#) is a number that is the product of first n prime numbers.Primorial number is similar to factorial of a number n. The difference is that factorial can be any number but in case of primorial number, all prime numbers are used.Let’s take an example to understand the problem, Input: N = 4 Output 210 Explanation: Primorial number, Pn# = 2 * 3 * 5 * 7 = 210To solve this problem, we have to find the first n prime numbers. Print ...

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Prime Triplet in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 395 Views

In this problem, we are given a number N. Our task is to print all prime triplets less than N.Prime triplet is a set of three prime numbers. That are of the form (p, p+2, p+6) or (p, p+4, p+6). All prime numbers are grouped according to the above triplets as every third prime in the direct pattern is a multiple of 6.Let’s see an example to understand the problemInput: N = 13 Output: 5 7 11To solve this problem, we have to find all prime numbers less than equal to N. And the check for triplets.The code to show ...

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