Largest sum cycle gfg practice. You are given an array Arr of size N. Largest sum cycle gfg practice

 
You are given an array Arr of size NLargest sum cycle gfg practice Input : arr [] = {10, 1, 3, 15, 30, 40, 4, 50, 2, 1} K = 3 Output : 3 15 30 40 4 50

Naive Approach: The naive approach will. You are required to return the head of the linked list 2->1->5->null. Input : arr [] = [4, 3, 1, 5, 6] Output : 11 Subarrays with. Follow the steps below to solve the problem: If the given array is sorted in ascending order, then print “-1” as it is not possible to find lexicographically the largest permutation. Example 1: Input: 1 / \ 2 3 / \ / \ 4 5 6 7 Output: 28 Explanation Your task is to complete the function isNegativeWeightCycle () which takes n and edges as input paramater and returns 1 if graph contains negative weight cycle otherwise returns 0. Problem Statement. If max_so_far is less than max_ending_here then update max_so_far to max_ending_here. Output. K is the size of subarrays and M is the count of subarray. Start your problem-solving journey today! You can now create your own custom sprints by adding problems to it. NOTE: If there is a tie, then compare with segment's length and return segment which has maximum length. Find the minimum number of swaps required to sort the array in strictly increasing order. You are given an array&nbsp;Edge []&nbsp;of&nbsp;N&nbsp;integers,&nbsp;where Edge [i] The task is to find the largest sum of a cycle in the maze (Sum of a cycle is the sum of the cell indexes of all cells present in that cycle). Platform to practice programming problems. Example 1: Input: N = 5 Arr [] = {6, -3, -10, 0, 2} Output: 180 Explanation: Subarray with maximum product is [6, -3, -10] which gives product as 180. Auxiliary Space: O (V+E) If you like GeeksforGeeks and would like to contribute, you can also write an article using write. The problem has been solved using Graph concept ( DFS )The idea of Kadane’s algorithm is to maintain a variable max_ending_here that stores the maximum sum contiguous subarray ending at current index and a. Example: Given an array of integers of size ‘n’, Our aim is to calculate the maximum sum of ‘k’ consecutive elements in the array. Auxiliary Space: O (1) ,since no extra space is used. Learn how to solve a coding question on maximum weight node with a maze and multiple entry points using the sum of the node number in a cycle. Use an array to store the maximum path sum starting from a node. (return − 1 if there is no meeting cell from the two given cells) OUTPUT FORMAT For each testcase given, output a single line that denotes the nearest meeting cell (NMC) (2) Converging Maze: Largest Sum Cycle 1. The solution is based on the fact that “ If a graph has no odd length cycle then it must be Bipartite, i. Given an array arr [], an integer K and a Sum. The idea is to use shortest path algorithm. a strictly increasing. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. The task is to find subtree with maximum sum in the tree and return its sum. We are given a directed graph. We get maximum sum by adding subarray {4, 2, 10, 23} of size 4. After that check a condition that if max value is less then head value is assigned to max or min value is greater then head value is assigned to min otherwise head point to next node. Example 2: Input: nums = [1] Output: 1 Explanation: The subarray [1] has the largest sum 1. Return -1 if there are no cycles. Follow the given steps to solve the problem: Let the array have R rows. Times may get tough, but for you, Job-A-Thon will be enough! Do not miss out the Post Contest Analysis- Live: Youtube Link (10:30PM IST) Mentor: SunitiSum of the first n terms (S n): The sum of the first n terms of the AP series. e. Practice; All DSA Problems; Problem of the Day; GFG SDE Sheet; Curated DSA Lists; Contests; World Cup Hack-A-Thon; GFG Weekly Coding Contest. 6% Submissions: 239K+ Points: 1. Union Find 79. Now let’s see how the two-pointer technique works. A-143, 9th Floor, Sovereign Corporate Tower, Sector-136, Noida, Uttar Pradesh - 201305Approach: The given problem can be solved by finding the last element which is greater than its next element, and swapping it with the next smaller element in the array. In case you need more clarity about a question, you may use the expected output button to see output for your given input. Example 1: Input : 1 / 2 3 Output : 1 3 Explanation : There are two levels in the tree : 1. Your task is to complete the function largest () which. Create Largest Sum Cycle. and there. Company Tags. No cycle is formed, include it. Find the 0-based index of the first row that has the maximum number of 1's. Find the total count of sub-arrays having their sum equal to 0. Recommended: Please solve it on “ PRACTICE ” first, before moving on to the solution. Return max_end – max_start + 1 as the size of the subarray with maximum sum. Linear data structure: Data structure in which data elements are arranged sequentially or linearly, where each element is attached to its previous and next adjacent elements, is called a linear data structure. From a given cell, we are allowed to move to cells (i+1, j) and (i, j+1) only. How to find the smallest number with given digit sum s and number of digits d ? Examples : Input : s = 9, d = 2 Output : 18 There are many other possible numbers like 45, 54, 90, etc with sum of digits as 9 and number of digits as 2. Monotonic Stack 55. The expected time complexity of the above randomized QuickSelect is O (n). In every topic, you can start from questions according to your comfort level. Given two strings denoting non-negative numbers X and Y. Free, Self-Paced with Lifetime Access using Strivers A2Z DSA Course. Note:&nbsp;edges [i] is&nbsp;defined as u, v and weight. The cells are named with an integer value from 0 to N−1. Example 1: Input: 1 / 4 4 / 6. Initialize a variable, say res as 0 to store the maximum product of any two nodes of the connected components of the same weights. A SumTree is a Binary Tree where the value of a node is equal to the sum of the nodes present in its left subtree and right subtree. Solve one problem based on Data Structures and Algorithms every day and win exciting prizes. Minimize sum of product of same-indexed elements of two arrays by reversing a subarray of one of the two arrays. Explanation: The subarray having maximum sum with distinct element is {2, 3, 1, 5}. Input: list= [12 4 -5 7 -9] Output: 5. Our platform offers a range of essential problems for practice, as well as the latest questions being asked by top-tier companies. Longest Increasing Subsequence having sum value atmost K. We need to find the maximum length of cable between any two cities for given city map. Solved 3 Linked list problems using Recursion and two-pointers approach: Flatten given Linked list; Rotate given Linked list; Clone a given Linked list with next and random pointers; Day 79. We fix the left and right columns one by one and find the largest sub-array with 0 sum contiguous rows for every left and right column pair. Also, the number of colors used sometime depend on the order in which vertices are processed. ans = max (max_so_far, sum – min_so_far) = (12, 11 – (-11)) = 22. Approach: Depth First Traversal can be used to detect cycle in a Graph. Each cell may have multiple entry points but not more than one exit (i. If there are multiple sequences with the largest size, return any of them. . Ordered Set 57. Hence, print the value 2. Sum of a cycle is the sum of nodeSum of two large numbers | Practice | GeeksforGeeks. Input: n = 7 k = 3 arr = [1,15,7,9,2,5,10] Output: 84 Explanation: arr becomes [15. Given the graph, Print out the maximum weight Cycle of the graph. A sheet that covers almost every concept of Data Structures and Algorithms. Given a binary tree, the task is to print the maximum sum of nodes of a sub-tree which is also a Binary Search Tree. , it can be colored with two colors “. A sequence, sorted in increasing order is. Find elements in given Array that are a factor of sum of remaining elements. If max_ending_here < 0 then update max_ending_here = 0. Largest Sum Cycle. Level up your coding skills and quickly land a job. Example 3: Input: nums = [5,4,-1. Find three element from different three arrays such that a + b + c =. entry/exit points are. Write a function that takes an array as an argument and returns the length of the longest bitonic subsequence. In this post, a solution using the approach of Largest Sum Contiguous Subarray is discussed. Split the array ‘A’ into ‘K’ non-empty subarrays such that the largest sum of any subarray is minimized. We one by one remove every edge from the graph, then we find the shortest path between two corner vertices of it. We can generate Egyptian Fractions using Greedy Algorithm. 0 You are given a maze with N cells. Return -1 if there are no cycles. Input: N = 5, A [] = {5, -2, 3, -6, 5} Output: 11. The Sum of a cycle is the sum of node numbers of all nodes in that cycle. Practice. Time Complexity: O(N 2) Auxiliary Space: O(1) Efficient Approach: We can optimize the above approach by using the below steps. 0 You are given a maze with N cells. Given a weighted, undirected and connected graph of V vertices and an adjacency list adj where adj [i] is a list of lists containing two integers where the first integer of each list j&nbsp;denotes there is edge between i and j&nbsp;,&nbsp;second inte. entry/exit points are unidirectional doors like valves). Convert all even weight edges into two. Given head, the head of a singly linked list, find if the linked list is circular or not. Example 2: Input: N. Find the maximum of the sums of all such subsequences. Design 123. You don't to print answer or take inputs. Example 1: Input: N = 8 K = 3 A [] = {8 5 9 10 5 6 19 8} Output: 38 Explanation: Possible increasing subsequence of length 3 with maximum possible sum is 9 10 19. The questions will be featured from a pool of public problems from the GFG Practice Portal. . Global data. Input: a [] = {10, -10, 20, -40} k = 6 Output: -10 Explanation: The 6th largest sum among sum of all contiguous subarrays is -10. Third line for each testcase contains two cell numbers whose nearest meeting cell needs to be found. Therefore,the given binary tree is a sum tree. In this case, Kadane’s algorithm will produce the result. Given adjacency list adj as input parameters . Cyclically rotate an array by one. In the previous post, we checked whether the maximum value minus the minimum value is equal to the ending index minus starting index or not. Follow the steps below to solve the problem: Initialize an adjacency list to create a graph from the given set of edges Edges[][]. Times may get tough, but for you, Job-A-Thon will be enough! Watch the Post Contest Analysis - Live: Mentor : Suniti Youtube Link (Live at 10:30PM)Detecting negative cycle using Floyd Warshall. K is the size of subarrays and M is the count of subarray. February 2, 2023 08:48. entry/exit points are unidirectional doors like valves). Approach: The given problem can be solved by finding all the paths from a given source to a destination and using a Priority Queue to find the K th largest weight. CodeFreaks Kadane's Algorithm | Largest Sum Contiguous Subarray | Java and C++ | Anuj Bhaiya DSAOne Course #13 Problem of The Day: 02/02/2023 | Largest. For a given number of the form ‘nr/dr’ where dr > nr, first find the greatest possible unit fraction, then recur for the remaining part. You are given an array Arr of size N. Find the length of the longest sub-sequence such that elements in the subsequence are consecutive integers, the consecutive numbers can be in any order. A cycle is a path that starts and ends at the same node. Example 1: Input: 10 / 2 -25 / / 20 1 3 4 Output: 32 Explanation: Path in the g. Note: The cells are named with an integer value from 0 to N-1. n-1] containing n positive integers, a subsequence of arr [] is called Bitonic if it is first increasing, then decreasing. You have to find the K-th largest sum of contiguous subarray within the array elements. Platform to practice programming problems. The function “largestSum” takes array “arr” and it size is “n”. Your task is to complete the function isCycle () which takes V denoting the number of vertices and adjacency list as input parameters and returns a boolean value denoting if the undirected graph contains any cycle or not, return 1 if a cycle is present else return 0. Your task is to return the minimized largest sum of the split. Maximum subsequence sum such that no three are consecutive in O (1) space. Paytm. Given two strings denoting non-negative numbers X and Y. 2. Complete the function findSubarray () that takes the array arr and its size n as input parameters and returns the total number of sub-arrays with 0 sum. For each node from leaf to root find the maximum sum. Note:The cells are named with an integer. The task is to check if the given linked list is palindrome or not. Note:&nbsp;edges [i] is&nbsp;defined as u, v and weight. Back to Explore Page. Given a list&nbsp;of non negative integers, arrange them in such a manner&nbsp;that they form the largest number possible. Input: source = 0, destination = 4. The idea is to find all subarrays and then find those subarrays whose any of the subarrays does not have a sum equal to zero. You have got a maze, which is a n*n Grid. 2. Approach: The approach to the solution is based on the concept of longest common subsequence and we need to check if sum of elements of subsequence is equal to given value. The graph is connected. Example 1: Input: 1 / 2 3 / / 4 5 6 7 Output: 28 ExplanationYour task is to complete the function isNegativeWeightCycle () which takes n and edges as input paramater and returns 1 if graph contains negative weight cycle otherwise returns 0. Largest possible 5 digit number is 93000 with sum 12. Thus, the explicit formula is . 5xMethods And Algorithms Used1. The task is to find the largest sum of a cycle in the maze (Sum of a cycle is the sum of the cell indexes of all cells present in that cycle). Maximum sum path in a matrix from top-left to bottom-right. You are given an array arr[] of size n. This problem is an extension of Largest Sum Subarray Problem. 89% Submissions: 109K+ Points: 4. Example 1: The above graph has two cycles of length 4 and 3, the product of cycle lengths is 12. An efficient solution is to use hashing. Question: Converging Maze: Largest Sum Cycle 1. A sheet that covers almost every concept of Data Structures and Algorithms. Find the sum of the maximum sum subsequence of the given array such that the integers in the subsequence are sorted in strictly increasing order i. Example 1: Input: N = 6 Arr [] = {12, 35, 1, 10, 34. Example 1: Input: N = 3. For example, the number 190 will be represented by the linked list, 1->9-. If the product of their LCM and HCF is 294, find the numbers. Graph 134. This is the highest possible sum. Input : s = 20, d = 3 Output : 299. Your task is to complete the function LargestSubset. If one side of the root is empty, then the function should return minus infinite (INT_MIN in case of. In this video, I have solved the "Largest Sum Cycle" problem from GFG Practice - Problem Of The Day. Example 1: Input: N = 5, arr [] = {1, 101, 2, 3, 100} Output: 106 Explanation: The maximum sum of a increasing sequence is obtained from {1, 2, 3, 100}, Example 2: POTD link ::: you like this content please hit like and subscribe. Follow the steps mentioned. Examples: Input: N = 4, Edge [] = {1, 2, 0, -1} Output: 3 Given an array Arr[] of N integers. If the sum is less than or equal to k, then a value greater than or equal to k + 1 – sum has to be added to sum to make it at least k+1. Given a weighted directed graph with n nodes and m edges. The task is to check if there exists any subarray with K elements whose sum is equal to the given sum. If not possible returns -1. Input : 331 Output : 313 Input : 3444 Output : Palindrome cannot be formed. If “n != 1” , then a recursive call the function “largestSum” to find the largest sum of the subarray “arr [0…n-1]” excluding the last element “arr [n-1]”. The length of this cycle is 3, so 3 is returned. The basic idea behind cycle sort is to divide the input array into cycles, where each cycle consists of elements that belong to the same. Let the set be E. Connected Components for undirected graph using DFS: Finding connected components for an undirected graph is an easier task. Following is an example of SumTree. Follow the steps below to solve the. The intuition behind this approach is to maintain a max heap (priority queue) of size K while iterating through the array. To find the largest subarray having a sum greater than zero, we check the value of. Run two loops to find all subarrays. Inputs are same. Given a maze with&nbsp;N&nbsp;cells. Count of largest sized groups while grouping according to product of digits; Find the subsequence with given sum in a superincreasing sequence; Find the size of largest group where groups are according to the xor of digits; Maximum number of times Array can be reduced in half when its all elements are evenThe task is to complete the function isPalindrome() which takes head as reference as the only parameter and returns true or false if linked list is palindrome or not respectively. Linked List 72. Explanation: Sum of both the pairs {7, 9} and {9, 8} are greater. Largest Sum Cycle | Graphs | GFG POTD | Feb 02 Problem Link:. The Content of this Interview Experience is Removed. With over 1500+ candidates placed in 200+ companies in the last 1 year, Job-A-Thon brings you yet another chance to get placed in top companies. The idea is to convert given problem to a simpler problem where we have to just check if there is cycle of odd length or not. After filling the array, we use the sliding window concept of size k. If total array size is not multiple of k, then we can take partial last array. Back to Explore Page. Your Task: You don't need to read or print anything. The idea is to. 2nd cycle: 5 6 10 9. Example 1: Input: N = 4 Edge[] = {1, 2, 0, -1} Output: 3. The path may start and end at any node in the tree. , 4/42. Method 1: The idea is to compare the sum of each stack, if they are not same, remove the top element of the stack having the maximum sum. . cpp. Suppose we have x as 6, then the numbers which are less than 6 and have remainders which add up to 6 gives sum as 6 when added. Return true if, for every node X in the tree other than the leaves, its value is equal to the sum of its left subtree's value and its right subtree's value. Note: The cells are named with an integer value from 0 to N-1. Note: The cells are named with an integer value from 0 to N-1. Examples of linear data structures are array, stack, queue, linked list, etc. If there is no cycle in the graph then return -1. Run two nested loops to find all subarrays. Solved the problem of finding the starting point of a cycle in Linked list; Day 78. If there is a prefix with a sum equal to ( x – s), then the subarray with the given sum is found. Example 1: Input: N = 5 A[] = {1,2,3,5} Output: 4 Example 2: Input: N = 10 A[] = {6,1,2,8,3,4,7,10,5} Output: 9 Your Task : You don't need to read input or print anything. Input: n = 7 k = 3 arr = [1,15,7,9,2,5,10] Output: 84 Explanation: arr becomes [15. -----. Practice. Example 1: Input: N = 5 Output: 120 Explanation : 5! = 1*2*3*4*5 = 120 Example 2: Input: N = 10 Output: 3628800 Explanation :For m = 1, the number is 168 + 3 = 171, the sum of whose digits is 9. Each cell may have multiple entry points but not more than one exit (ie. Longest path is from 5 to 7 of length 5. We would like to show you a description here but the site won’t allow us. If there is no cycle in the graph then return -1. Time Complexity: O (N * 2N) Auxiliary Space: O (N) Efficient Approach: The problem can be solved using Greedy technique. 1) If current has no right child a) Increment count and check if count is equal to K. The sum of nodes considering 2 as the root of subtree is 2 = 2. Here f z = 3 >= K. The task is to find subtree with maximum sum in the tree and return its sum. Solved the problem of finding the starting point of a cycle in Linked list; Day 78. Note: The cells are named with an integer value from 0 to N-1. Your task is to complete the function FindWays () which takes matrix as input parameter and returns a list containg total number of ways to reach at (n, n) modulo 109 + 7 and maximum number of Adventure. You don't need to read input or print anything. The steps to construct the Subsequence is shown below: In a vector result, store the value of the element where the Maximum Sum Increasing Subsequence was found (i. Now we retrieve min values (2 at a time) of array, by. From a given cell, we are allowed to move to cells (i+1, j) and (i, j+1) only. Given an integer array arr, partition the array into (contiguous) subarrays of length at most k. From the above three questions, I was able to solve the 2 questions completely, and a 7/10 test in the remaining one. The idea is similar to linear time solution for shortest path in a directed acyclic graph. Linked list can contain self loop. Instructions. GfG Weekly + You = Perfect Sunday Evenings! Given a number N, the task is to find the largest prime factor of that number. Check for all the values in the array:- If min_so_far is equaled to sum, i. The idea is simple, we find all divisors of a number one by one. Follow the steps to solve the problem: Use a DFS traversal starting from the root. Input: 10 / 2 5 -2 Output: 17 Explanation: Path in the given tree goes like 2 , 10 , 5. Your task is to return maximum score possible in the given array Arr. Calculate the sum of X and Y. Find the largest co-prime fraction less than the given fraction; Minimum count of numbers required ending with 7 to sum as a given number; Count 'd' digit positive integers with 0 as a digit; Find the closest Fraction to given fraction having minimum absolute difference; Extended Midy's theorem; Find all strings that match specific pattern. Your task is to complete the function fibSum () which takes an integer N as input parameter and returns the sum of all the Fibonacci number from F0 to FN. Sum of upper triangle and lower triangle. ; Increase the. The task is to return a linked list that represents the sum of these two numbers. To add x to sum, -x can be subtracted from it because sum- (-x) = sum + x. Solve. Find the total count of sub-arrays having their sum equal to 0. Find the missing element. Naive Approach: The simplest approach to solve the problem is to generate all possible subarrays and for each subarray, check if all its elements are unique or not. Follow the steps below to solve the problem: Initialize an adjacency list to create a graph from the given set of edges Edges [] []. Given two numbers 'N' and 'S' , find the largest number that can be formed with 'N' digits and whose sum of digits should be equals to 'S'. If max_so_far is less than max_ending_here then update max_so_far to max_ending_here. Given an array Arr, with indexes running from 0 to N, select any two indexes, i and j such that i<=j-1. You don't need to read input or print anything. GFG Weekly Coding Contest; Job-A-Thon: Hiring Challenge; All Contests and Events; Change. Efficient Approach: This method uses the Sliding Window Technique to solve the given problem. A global variable is set that is compared at each iteration with the local sum values to obtain the final result. L=0 R=5. To associate your repository with the gfg-solutions topic, visit your repo's landing page and select "manage topics. Find largest subtree having identical left and right subtrees; Sum of all the parent nodes having child node x; Maximum sum from a tree with adjacent levels not allowed; Iterative function to check if two trees are identical; Check if there is a root to leaf path with given sequence; Sum of nodes at maximum depth of a Binary TreeThe longest of them will be the answer. Follow the given steps to solve the problem: Create a Hashmap ( hm) to store a key-value pair, i. . Let this value be x. If maxm < 0, then print the value of maxm. For each subarray find its all subarray by running two another for loops. If a pair is found with the required sum, then make sure that all elements are distinct array elements and an element is not considered more than once. Largest sum of digits in all Divisors. Now the problem reduces to finding the largest subarray having a sum greater than zero. If the stack is not empty, compare top most element of stack with next. Find the contiguous sub-array(containing at least one number) which has the maximum sum and return its sum. Since, sum 2 has maximum frequency ( = 2). Let A [] [] be the adjacency matrix representation of the graph. Back to Explore Page. &nbsp;Here adj[i] contains vectors of size 2, Subarray [1:4] = {5, 2, 5, 3} Sum of subarray excluding maximum element = 5 + 2 + 3 = 10. Maximum path sum from top left to bottom right of a matrix passing through one of the given cells. Convert all even weight edges into two. The output for the above will be. Method 1 (Simple DFS): We create undirected graph for given city map and do DFS from every city to find maximum length of cable. Subarrays with equal 1s and 0s. If we calculate A 3, then the number of triangles in Undirected Graph is equal to trace (A 3) / 6. Given an array of positive integers. If total array size is not multiple of k, then we can take partial last array. The idea is to reduce the problem to 1 D array. Find the product of the maximum product subarray. Step 2: Pick edge 8-2. It may be assumed that size of array is more than m*k. Take two variables min and max to store the minimum and maximum elements of. ; Now create a max/min variable (let’s say m) with value. Efficient Approach: The idea is to use Binary Search to find the subarray of maximum length having sum K. That is the search space for binary search is defined as –. 1) If count is equal to K, simply return current Node as it. Expected time complexity is O (n). Find the maximum possible sum from one leaf node to another. A-143, 9th Floor, Sovereign Corporate Tower, Sector-136, Noida, Uttar Pradesh - 201305The Range of a subarray of arr is the difference between the largest and smaller element in the subarray. Expected Time Complexity: O (n*m) Expected Auxiliary Space: O (n*m) Constraints: 1 ≤ n, m ≤ 500. Maximum sub-array is defined in terms of the sum of the elements in the sub-array. Longest subarray of only 0's or 1's with atmost K flips. The idea is to convert given problem to a simpler problem where we have to just check if there is cycle of odd length or not. The idea is to. Given an array arr [] and an integer K. Note that in graph on right side, vertices 3 and 4 are swapped. Input: nums = {2, 8, 5, 4} Output: 1 Explanation: swap 8 with 4. b) Remove all edges from E which are either incident on u or v. + 3 more. Examples: Input : n = 3, m = 2 Edges [] = { {1, 2}, {2, 3}} Output : 1. From the map, find the number of subarrays previously found having sum equal to currsum-sum. , 3. Replace each element of an array with 1 if it is greater than or equal to X, else replace it with -1. 3) Do following while E is not empty. Geek lost the password of his super locker. Back to Explore Page. The task is to find the largest sum of a cycle in the maze(Sum of a cycle is the sum of the cell indexes of all cells present in that cycle). Minimum Spanning Tree. Your Task: You don't need to read or print anything. Complete the function sum() which takes array arr and single integer n, as input parameters and returns an integer denoting the answer. Example 2: Input: N = 2,K = 2 A [] = {10 5} Output: -1 Explanation: Can't make any increasing subsequence of length 2. The task is to find the product of the lengths of all cycles formed in it. Converging Maze: Largest Sum Cycle 1. The task is to find the sum of weights of the edges of the Minimum Spanning Tree. Find the Length of the largest cycle. Algorithm: First create an queue structure and push k elements inside it and calculate the sum of the elements (let’s say su) during pushing. Allocate Minimum Spanning Tree. We can solve this problem similar to two pointers method. Traverse through all pairs again and search for X – (current pair sum) in the hash table. First we store the prefix sum in a separate array so that any subarray sum can be calculated in constant time. For the root node, sum of elements in left subtree is 40. This is the highest possible sum of a. Input: L = -3, R = 3, K = 1. No cycle is formed, include it. Example 2: Input: 10 / 20 30 / 10 10 Output: 0 Explanation: The given tree is not a sum tree. Maximum sum subarray having sum less than or equal to given sum.