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Maximum number of edges to be added to a tree so that it stays a Bipartite graph in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 414 Views

Problem statementA tree is always a Bipartite Graph as we can always break into two disjoint sets with alternate levels.In other words, we always color it with two colors such that alternate levels have same color. The task is to compute the maximum no. of edges that can be added to the tree so that it remains Bipartite Graph.ExampleTree edges are represented in vertex pairs as follows −{1, 2}{1, 3}{2, 4}{3, 5} then we need 2 more edges to keep it Bipartite GraphIn a coloring graph the graph {1, 4, 5} and {2, 3} from two different sets. Since, 1 ...

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Find the count of numbers that can be formed using digits 3 and 4 only and having length at max N in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 157 Views

Given a number N. We have to find the count of such numbers that can be formed using digit 3 and 4. So if N = 6, then the numbers will be 3, 4, 33, 34, 43, 44.We can solve this problem if we look closely, for single digit number it has 2 numbers 3 and 4, for digit 2, it has 4 numbers 33, 34, 43, 44. So for m digit numbers, it will have 2m values.Example#include #include using namespace std; long long countNumbers(int n) {    return (long long)(pow(2, n + 1)) - 2; } int main() {    int n = 3;    cout

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Maximize value of (arr[i] – i) – (arr[j] – j) in an array in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 299 Views

Problem statementGiven an array, arr[] find the maximum value of (arr[i] – i) – (arr[j] – j) where i is not equal to j. Where i and j vary from 0 to n-1 and n is the size of input array arr[].If the input array is {7, 5, 10, 2, 3} then we can obtain 9 maximum value as follows−(element 10 – index 2) - (element 2 – index 3) (10 – 2) – (2 – 3) = 8 – (-1) = 9Algorithm1. Find maximum value of (arr[i] – i) in whole array. 2. Find minimum value of (arr[i] – i) in whole array. 3. Return difference of above two valuesExample#include using namespace std; int getMaxDiff(int *arr, int n){    if (n < 2) {       cout

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BinaryOperator Interface in Java

AmitDiwan
AmitDiwan
Updated on 11-Mar-2026 2K+ Views

The BinaryOperator interface represents an operation upon two operands of the same type, producing a result of the same type as the operands.Following are the methods −Modifier and TypeMethod and DescriptionmaxBy(Comparator

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Maximum number of fixed points using at most 1 swaps in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 302 Views

Problem statementGiven a permutation of N elements from 0 to N-1. A fixed point is an index at which the value is same as the index i.e. arr[i] = i. You are allowed to make at most 1 swap. Find the maximum number of fixed points that you can get.ExampleIf input array is {0, 1, 2, 3, 4, 6, 5} then answer is 7.To adjust fixed point, we have to swap 6 and 5After this entire array becomes fixed point and maximum value of fixed point is 7.AlgorithmCreate an array pos which keeps the position of each element in the ...

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Defanging an IP Address in Python

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

Suppose we have a valid IPv4 IP address. We have to return the Defanged version of the IP address. A Defanged IP address is basically replace every period “.” by “[.]” So if the IP address is “192.168.4.1”, the output will be “192[.]168[.]4[.]1”To solve this, we will follow these steps −We will split the string using dot, then put each element separated by “[.]”ExampleLet us see the following implementation to get better understanding −class Solution(object):    def defangIPaddr(self, address):       address = address.split(".")       return "[.]".join(address) ob1 = Solution() print(ob1.defangIPaddr("192.168.4.1"))Input"192.168.4.1"Output"192[.]168[.]4[.]1"

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Maximum number of Unique integers in Sub- Array of given sizes in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 372 Views

In this problem, we are given an array of size n and a number M. Our task is to create a program that will find the maximum number of unique integers in Sub-array of given size.Here, we will have to find the sub-array of size M that has the maximum number of unique elements.Let’s take an example to understand the problem, Input − array = {4, 1, 2, 1 , 4, 3}. M = 4Output − 4Explanation −All possible combinations of sub-arrays of size 4. {4, 1, 2, 1} = 3 unique elements {1, 2, 1, 4} = 3 unique ...

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Find the count of Strictly decreasing Subarrays in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 288 Views

Suppose we have an array A. And we have to find the total number of strictly decreasing subarrays of length > 1. So if A = [100, 3, 1, 15]. So decreasing sequences are [100, 3], [100, 3, 1], [15] So output will be 3. as three subarrays are found.The idea is find subarray of len l and adds l(l – 1)/2 to result.Example#include using namespace std; int countSubarrays(int array[], int n) {    int count = 0;    int l = 1;    for (int i = 0; i < n - 1; ++i) {       if ...

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Maximum OR sum of sub-arrays of two different arrays in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 281 Views

Problem statementGiven two arrays of positive integers. Select two sub-arrays of equal size from each array and calculate maximum possible OR sum of the two sub-arrays.ExampleIf arr1[] = {1, 2, 4, 3, 2} andArr2[] = {1, 3, 3, 12, 2} then maximum result is obtained when we create following two subarrays −Subarr1[] = {2, 4, 3} andSubarr2[] = {3, 3, 12}AlgorithmWe can use below formula to gets result −f(a, 1, n) + f(b, 1, n)Example#include using namespace std; int getMaximumSum(int *arr1, int *arr2, int n) {    int sum1 = 0;    int sum2 = 0;    for (int ...

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Find the compatibility difference between two arrays in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 629 Views

Consider there are two friends and now they want to test their bonding. So they will check, how much compatible they are. Given the numbers n, numbered from 1..n. And they are asked to rank the numbers. They have to find the compatibility difference between them. The compatibility difference is basically the number of mismatches in the relative ranking of the same movie given by them. So if A = [3, 1, 2, 4, 5], and B = [3, 2, 4, 1, 5], then the output will be 2. The compatibility difference is 2, as first ranks movie 1 before ...

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