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Page 1290 of 2109
Minimum edges required to add to make Euler Circuit in C++
ConceptWith respect of a given undirected graph of b nodes and a edges, the job is to determine minimum edges needed to build Euler Circuit in the given graph.Input b = 3, a = 2 Edges[] = {{1, 2}, {2, 3}}Output 1By connecting 1 to 3, we can build a Euler Circuit.MethodWith respect of a Euler Circuit to exist in the graph we need that every node should haveeven degree because then there exists an edge that can be applied to exit the node after entering it.Now, there can be two cases −Existence of one connected component in the graphWith respect of ...
Read MoreMinimum removals from array to make GCD Greater in C++
ConceptWith respect of given N numbers, the target is to determine the minimum removal of numbers such that GCD of the remaining numbers is larger than initial GCD of N numbers. If it is impossible to increase the GCD, print “NO”.Input b[] = {1, 2, 4}Output1After removing the first element, then the new GCD is 2, which is larger than the initialGCD i.e., 1.Input b[] = {6, 9, 15, 30}Output 3The initial gcd is 3, after removing 6 and 9 to obtain a gcd of 15 which is larger than 3. We can also remove 9 and 15 to get a gcd of ...
Read MoreFind a pair from the given array with maximum nCr value in C++
ConceptWith respect of given an array arr[] of n positive integers, the task is to determineelements arr[i] and arr[j] from the array such that arr[i]Carr[j] is at most possible. With respect of more than 1 valid pairs, print any one of them.Input arr[] = {4, 1, 2}Output 4 2 4C1 = 4 4C2 = 4 2C1 = 4 (4, 2) is the only pairs with maximum nCr.MethodnCr is treated as a monotonic increasing function, that is n+1Cr > nCr. We can apply this fact to get close to our answer; we will select the max n among all the given integers. In ...
Read MoreFind First element in AP which is multiple of given Prime in C++
ConceptWith respect of given first term (A) and common difference (d) of an Arithmetic Progression, and a prime number (P), our task is to determine the position of the first element in the given AP which is treated as a multiple of the given prime number P.InputA = 3, d = 4, P = 5Output3ExplanationThe fourth term of the given AP is a multiple of prime number 5.First Term = 3Second Term = 3+4 = 7Third Term = 3+2*4 = 11Fourth Term = 3+3*4 = 15MethodAssume the term be AN. As a result of this, AN = (A + (N-1)*d)So, ...
Read MoreFind the Largest Cube formed by Deleting minimum Digits from a number in C++
ConceptWith respect of given number N, our task is to determine the largest perfect cube that can be formed by deleting minimum digits (possibly 0) from the number. So any digit can be deleted from the given number to reach the target.A is called a perfect cube if A = B^3 for some integer B.It has been seen that If the number cannot be perfect cube print -1.ExampleLet N = 1025. It has been seen that if we delete 0 from the above number we will get 125 as remaining number, which is cube root of 5(5 * 5 * ...
Read MoreFind if it is possible to get a ratio from given ranges of costs and quantities in C++
ConceptWith respect of the given range of cost from lowCost to upCost and range of quantity from lowQuant to upQuant, determine if it is possible to obtain a given ratio r where r=cost/quantity, and lowCost
Read MoreCheck for balanced parentheses in an expression - O(1) space - O(N^2) time complexity in C++
ConceptWith respect of given a string str containing characters ‘(‘, ‘)’, ‘{‘, ‘}’, ‘[‘ and ‘]’, the task is to find if brackets are balanced or not.Brackets are denoted as balanced if −We close open brackets must be closed by the same type of brackets.Again we close open brackets according to the correct order.Input − str = “(()){}”Output − YesInput − str = “))(([][”Output − NoMethodAssign two variables a and b to keep track of two brackets to be compared.A count should be maintained whose value increments on encountering opening bracket and decrements on encountering a closing bracket.Assign b = ...
Read MoreCheck if a given Binary Tree is height balanced like a Red-Black Tree in C++
ConceptWith respect of a Red-Black Tree, the largest height of a node is at most double the minimum height.For a given Binary Search Tree, we need to verify for following property.With respect of every node, length of the longest leaf to node path has not more than double the nodes on shortest path from node to leaf.Examples13 41 \ / \ 15 11 101 \ / \ 17 61 151Above tree cannot be a Red-Black Tree Above tree can be Red-Black Tree with any color assignmentMax height of 13 is 1Min height of 13 is 3 ...
Read MoreFind maximum N such that the sum of square of first N natural numbers is not more than X in C++
ConceptWith respect of a given integer X, our task is to determine the maximum value N so that the sum of first N natural numbers should not exceed X.InputX = 7Output22 is the maximum possible value of N because for N = 3, the sum of the series will exceed X i.e. 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14InputX = 27Output33 is the maximum possible value of N because for N = 4, the sum of the series will exceed X i.e. 1^2 + 2^2 + 3^2 + 4^2 = 1 + 4 + ...
Read MoreCheck if a given Binary Tree is Heap in C++
ConceptWith respect of a given binary tree, we need to verify whether it has heap property or not, Binary tree need to satisfy the following two conditions for being a heap –Binary tree should be a complete tree (i.e. all levels except last should be full).Binary tree's every node’s value should be greater than or equal to its child node (considering max-heap).ExampleWith respect of following example this tree contains heap property –The following example does not have heap property –MethodIt is required to verify each of the above condition separately, for verifying completeness isComplete(This function checks if the binary tree ...
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