C++ Articles

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Count Complete Tree Nodes in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 1K+ Views

Suppose we have a complete binary tree, we have to count the number of nodes. So if the tree is like −So the output will be 6.To solve this, we will follow these stepsThis will use the recursive approach. This method, countNodes() is taking the root as argument.hr := 0 and hl := 0create two nodes l and r as rootwhile l is not emptyincrease hl by 1l := left of lwhile r is not emptyr := right of rincrease hr by 1if hl = hr, then return (2 ^ hl) – 1return 1 + countNodes(left of root) + countNodes(right ...

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Perfect Squares in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 608 Views

Suppose we have a positive integer n, find the least number of perfect square numbers whose sum is n. So if the number is 13, then the output is 2, as the numbers are 13 = 9 + 4To solve this, we will follow these steps −create one table for dynamic programming, of length n + 1, and fill it with infinitydp[0] := 0for i := 1, when i*i dp(n+1,INF);       dp[0] = 0;       for(int i =1;i*i

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Maximum sum two non-overlapping subarrays of given size in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 256 Views

In this problem, we are given an array of positive integers and a number k. Our task is to create a program that will find the maximum sum of two nonoverlapping subarrays of the given size(k).So, basically we have two print two non-overlapping (distinct) subarrays that have the maximum sum and are of size k.Let’s take an example to understand the problem, Input −array = {7, 1, 6, 9, 2} , k = 2Output −{7, 1} , {6, 9}Explanation −all subarrays of size 2. {7, 1} : sum = 7+1 = 8 {1, 6} : sum = 1+6 = 7 ...

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Maximum Unique Element in every subarray of size K in c++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 409 Views

In this problem, we are given an array of integers and a integers K. our task is to create a program that will find the maximum unique element in every subarray of size K with no duplicates.Let’s take an example to understand the problem, Input −array = {4, 1, 1, 3, 3} k = 3Output −4 3 1Explanation −Sub-array of size 3 Subarray {4, 1, 1}, max = 4 Subarray {1, 1, 3}, max = 3 Subarray {1, 3, 3}, max = 1To solve this problem, one simple method is to run two loops and create subarrays and find distinct ...

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Maximum value of |arr[0] – arr[1] - + |arr[1] – arr[2] - + ... +|arr[n – 2] – arr[n – 1] - when elements are from 1 to n in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 259 Views

In this problem, we are given an array of n integers of range [1, n]. Our task is to create a program that will find the maximum value of |arr[0] – arr[1] - + |arr[1] – arr[2] - + … +|arr[n – 2] – arr[n – 1].Let’s take an example to understand the problem, Input − array= {1, 2, 3}Output − 3Explanation −max sum is |1-3|+|2-1| = 3To solve this problem, a simple approach is to create all permutations from the array. And find the maximum value of all the values from permutation. A more effective method is to generalize ...

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Maximum value of |arr[i] – arr[j] - + |i – j| in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 491 Views

In this problem, we are given an array of n integers. Our task is to create a program that will find the maximum value of |arr[i]-arr[j]| + |i-j|.Let’s take an example to understand the problem, Input − array = {4, 1, 2}Output − 4Explanation −|arr[0] - arr[1]|+|0-1| = |4-1| + |-1| = 3+1 = 4 |arr[0] - arr[2]|+|0-2| = |4-2| + |-2| = 2+2 = 4 |arr[1] - arr[2 ]|+|1-2| = |1-2| + |1-2| = 1+1 = 2To solve this problem, a simple approach will be using the brute force approach which will be using two loops and finding the ...

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Maximum value of arr[i] % arr[j] for a given array in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 351 Views

In this problem, we are given an array of n elements. Our task is to create a program that will find the maximum value of arr[i]%arr[j] for a given array.So, basically we need to find the value of the maximum remainder while dividing two elements of the array.Let’s take an example to understand the problem, Input − array{3, 6, 9, 2, 1}Output − 6Explanation −3%3 = 0; 3%6 = 3; 3%9 = 3; 3%2 = 1; 3%1 = 0 6%3 = 0; 6%6 = 0; 6%9 = 6; 6%2 = 0; 6%1 =0 9%3 = 0; 9%6 = 3; 9%9 ...

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Maximum value of XOR among all triplets of an array in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 246 Views

In this problem, we are given an array of integers. Our task is to create the maximum value of XOR among all triplets of an array.Let’s take an example to understand the problem, Input − array = {5, 6, 1, 2}Output − 6Explanation −All triplets are: 5^6^1 = 2 5^6^2 = 1 5^1^2 = 6 6^1^2 = 5To solve this problem, a direct approach will be to find the XOR of all possible triplets and print the maximum of all triplets. This will not be effective if we work with an array with a huge number of elements in the ...

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Maximum weight path ending at any element of last row in a matrix in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 450 Views

In this problem, we are given an integer n and a matrix of size n X n which contains the weight of the cell. Our task is to create a program that will find the maximum weight path ending at any element of the last row in a matrix. While finding the path the traversal will start from top-left (0, 0) and the valid moves will be down and diagonal, no left move is allowed.Let’s take an example to understand the problem, Input −n = 3 Mat[3][3] ={    {4, 3, 1}    {5, 8, 9}    {6, 7, 2}}Output  ...

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Maximum XOR using K numbers from 1 to n in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 422 Views

In this problem, we are given two positive integers n and k. Our task is to find maximum xor between 1 to n using maximum X numbersLet’s take an example to understand the problem, Input − n = 5, k = 2Output − 7Explanation −elements till 5 is 1, 2, 3, 4, 5 Selecting all XOR pairs: 1^2 = 3, 1^3 = 2, 1^4 = 5, 1^5 = 4 2^3 = 4, 2^4 = 6, 2^5 = 7 3^4 = 7, 3^5 = 6 4^5 = 1 The maximum here is 7.To solve this problem, the maximum XOR can be ...

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