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Even numbers at even index and odd numbers at odd index in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 1K+ Views

In this problem, we are given an array arr[] of size n consisting of n/2 even values and n/2 odd values. Our task is to create a program to place even numbers at even index and odd numbers at odd index. Let’s take an example to understand the problem, Input: arr[] = {5, 1, 6, 4, 3, 8}Output: arr[] = {6, 1, 5, 4, 3, 8}Solution Approach −A solution would be traversing the array and then find the end number which is not at even position and replacing it with the next off place value. This is a promising solution but the solution ...

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Maximum sum of pairs with specific difference C++ program

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 297 Views

In this problem, we are given an array arr[] of n integers and a number d. Our task is to create a program to find the maximum sum of pairs with specific difference in c++.Problem Description − We will find pairs in such a way that the difference of elements of pairs is less than d. The sum of all such pairs should be maximum.Let’s take an example to understand the problem, Inputarr[] = {5, 9, 11, 7, 2, 12, 3} d = 5Output47ExplanationPairs that contribute to maximum sum: (3, 5), (7, 9), (11, 12). Sum = 3 + 5 ...

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Even size subtree in n-ary tree in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 272 Views

In this problem, we are given an adjacency list that denotes an n-ary tree. Our task is to find the number of even size subtree in n-ary tree. N-ary tree is defined as a collection of nodes normally represented hierarchically in the following manner.The tree is started at the root node.Each node of the tree maintains a list of pointers to its child nodes.The number of child nodes is less than or equal to m.Let’s take an example to understand the problem, Input: Output: 4Explanation: Tree rooted with 7 has an even size.Tree rooted with 2 has an even size.Tree rooted with 0 has an ...

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Maximum sum of pairwise product in an array with negative allowed in C++ program

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 579 Views

In this problem, we are given an array arr[] that contains n integers values (negative values allowed). Our task is to create a program to find the maximum sum of pairwise products in an array with negative allowed.Problem Description − We need to create pairs using the elements of the array such that the sum of the product of elements of pairs is maximum.Let’s take an example to understand the problem, Inputarr[] = {−5, 2, 3, 7, −1, 1, −3, 12}Output104ExplanationThe pairs to be considered: (−5, −3), (2, 3), (−1, 1), (7, 12) Sum of product = (−5 * −3) ...

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Even-odd turn game with two integers in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 345 Views

In this problem, we are given three integer values A , B and T. Our task is to create a program to play Even-odd turn game with two integers. The two integer value are :T, that denotes the number of turns in the game.A denotes the value for player1B denotes the value for player2If the value of T is odd, the value of A is multiplied by 2.If the value of T is even, the value of B is multiplied by 2.We need to find and return value of max(A, B) / min(A, B) at the end.Let’s take an example to understand ...

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Maximum sum path in a matrix from top to bottom and back in C++ Program

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 384 Views

In this problem, we are given a matrix mat[][] of size nXm. Our task is to create a program to find the maximum sum path in a matrix from top to bottom and back.Problem Description − We need to find the maximum path sum from topleft to bottom−right and then back.Valid movesFrom mat[0][0] to mat[n−1][m−1]: Right (mat[i][j] to mat[i][j+1]) and Down (mat[i][j] to mat[i+1][j]). From mat[n−1][m−1] to mat[0][0]: left (mat[i][j] to mat[i][j−1]) and up (mat[i][j] to mat[i−1][j]).One important thing is that both paths cannot be the same. There should be one or more elements different in both paths.Let’s take an ...

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Evil Number with Example in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 1K+ Views

In this problem, we are given an array a number N. Our task is to check whether the number is an evil Number or Odious Number. Evil Number: It is a positive number which has an even number of 1’s in its binary expansion.Example: 5, 17 Odious Number: It is a positive number which has an odd number of 1’s in its binary expansion.example : 4, 6Let’s take an example to understand the problem, Input: N = 65Output: Evil NumberExplanation: Binary Expansion of 65 :  1000001Solution Approach: A simple solution to the problem is by finding the binary expansion of the number and then counting the number of 1’s ...

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Maximum sum possible for a sub-sequence such that no two elements appear at a distance < K in the array in C++ program

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 367 Views

In this problem, we are given an array arr[] of size n and an integer k. Our task is to create a program to find the maximum sum possible for a subsequence such that no two elements appear at a distance < K in the array.Problem Description − We need to find the maximum sum of sub−seqeunce that considers elements that are k distance from each other.Let’s take an example to understand the problem, Inputarr[] = {6, 2, 5, 1, 9, 11, 4} k = 2Output16ExplanationAll possible sub−sequences of elements that differ by k or more. {6, 1, 4}, sum ...

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Express an odd number as sum of prime numbers in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 496 Views

In this problem, we are given an odd number N. Our task is to express an odd number as the sum of prime numbers.There can be at max three prime numbers while expressing the number.Let’s take an example to understand the problem, Input: N = 55Output: 53 + 2Solution Approach: The odd number can be represented as a sum of primes. Taking these primes into consideration we have three cases.Case 1: If n is a prime number, it is represented as the sum of one prime number n.Case 2: If (n - 2) is a prime number, it is represented as the sum of two ...

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Maximum sum such that no two elements are adjacent Alternate Method in C++ program

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 480 Views

In this problem, we are given an array arr[] of size n consisting of positive values. Our task is to create a program to find the maximum subsequence sum in such a way that no two consecutive elements of the array.Problem Description − We need to find the sum of subarray which has elements of the array but no two adjacent elements of the array can be taken into consideration.ExampleLet’s take an example to understand the problem, Inputarr[] = {5, 2, 1, 9, 6}OutputExplanation −Subarray sum are : {5, 1, 6}, sum = 5 + 1 + 6 = 12 ...

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