The questions will be featured from a pool of public problems from the GFG Practice Portal. You have got a maze, which is a n*n Grid. If the array is already sorted then the inversion count is 0. Therefore, sum is = 2 + 3 + 1 + 5 = 11. Given an array arr [] of N elements and a number K. Subarrays with equal 1s and 0s. Since there are total n elements, maximum sum is n for both arrays. Linked list is : 17 -> 22 -> 13 -> 14 -> 15 -> NULL Maximum element in linked list:22 Minimum element in. This is the best place to expand your knowledge and get prepared for your next interview. No cycle is formed, include it. Length of the longest common span with same sum is 6. at any step, the sum of the square of digits obtained is a single-digit number except 1 or 7. Your Task: You don't need to read or print anything, Your task is to complete the function orangesRotting () which takes grid as input parameter and returns the minimum time to rot all the fresh oranges. e, low = mid + 1) Check if the element at the middle index is last 1 then return mid + 1. The Karger’s algorithm would produce this Min-Cut if and only if none of the edges in set {e 1, e 2, e 3, . The task is to find subtree with maximum sum in the tree and return its sum. , it can be colored with two colors “. If the weight is < n, then the original graph has no Hamiltonian cycle, otherwise it does. Step 3: Pick edge 6-5. The problem is to find the shortest distances between every pair of vertices in a given edge-weighted directed graph. For example below graph have 2 triangles in it. 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. 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. 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 denotes there is edge between i and j , second inte. Backtracking 100. This is the best place to expand your knowledge and get prepared for your next interview. In the end, the min heap contains the K largest elements of the array. You are given an array Arr of size N. Initialize a Max-Heap using a priority queue, say. The result is going to be very large, hence return the result in the form of a string. e, key = prefix sum and value = its index, and a variable to store the current sum ( sum = 0) and the sum of the subarray as s. Method 1 (Simple DFS): We create undirected graph for given city map and do DFS from every city to find maximum length of cable. Back to. Given an array of integers. The idea is to find the sum of string traversed until now. gfg potd gfg potd todaygfg problem of the dayProblem Link:-Link:-h. Expected Time Complexity: O (n*m) Expected Auxiliary Space: O (n*m) Constraints: 1 ≤ n, m ≤ 500. Find the first repeating element in an array of integers. Length of Longest Subarray with same elements in atmost K increments. World Cup Hack-A-Thon; GFG Weekly Coding Contest; Job-A-Thon: Hiring. So, the numbers are 2m and 3m. The assertion is clearly true for a graph with at most one edge. . We also add end to previous sum. The elements of the array can be negative. Time Complexity: O(N·M) Auxiliary Space: O(N*M) Efficient Approach: The above approach can be optimized based on the observation that the maximum prefix sum is equal to the sum of the maximum prefix sum of arrays A[] and B[]. Back to Explore Page. 1) Initialize Current as root. Let the set be E. If the sum obtained by applying Kadane’s algorithm is greater than the overall maximum sum, update the overall maximum sum. Instructions. Return the largest sum of the given array after partitioning. Example 2: Input: 10 / 20 30 / 10 10 Output: 0 Explanation: The given tree is not a sum tree. If not possible returns -1. Maximum range length such that A [i] is maximum in given range for all i from [1, N] Maximum sum subarray of size range [L, R] Minimum cost to convert all elements of a K-size subarray to 0 from given Ternary Array with subarray sum as cost. Given an integer array arr, partition the array into (contiguous) subarrays of length at most k. 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. We get maximum sum by adding subarray {4, 2, 10, 23} of size 4. Beginner's DSA Sheet; Love Babbar Sheet; Top 50 Array Problems; Top 50 String Problems; Top 50 DP Problems; Top 50 Graph Problems; Top 50 Tree Problems; Contests. 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. The currently found number can not occur again so it is. Find the maximum sum among such. Can you solve this real interview question? Maximum Subarray - Given an integer array nums, find the subarray with the largest sum, and return its sum. Print the shortest path between them. Example 2: The above graph has two cycles of length 4 and 3, the product of cycle lengths is 12. Minimum and maximum node that lies in the path connecting two nodes in a Binary Tree. 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. Largest Sum. The cells are named with an integer value from 0 to N−1. This is the best place to expand your knowledge and get prepared for your next interview. Time complexity: O(N 2) Auxiliary Space: O(1) Efficient Approach: The idea is to use the Kadane’s Algorithm to find the maximum subarray sum and store the starting and ending index of the subarray having maximum. Return the length of the longest cycle in the graph. For example, in the following binary tree, the maximum sum is 27 (3 + 6 + 9 + 0 – 1 + 10). Examples : Input : 313551 Output : 531135 Explanations : 531135 is the largest number which is a palindrome, 135531, 315513 and other numbers can also be formed but we need the highest of all of the palindromes. Find Complete Code at GeeksforGeeks Article: Like, Comment and Share the Video among you. So, the minimum spanning tree formed will be having (9 – 1) = 8 edges. Level up your coding skills and quickly land a job. For each subarray find its all subarray by running two another for loops. Enumeration 58. Question: Converging Maze: Largest Sum Cycle 1. Find three element from given three arrays such that their sum is X | Set 2. j], find the two smallest numbers and add them, you will get score for that subarray. 4) Return result. 3. Initialize a variable sum with value 0 to store the final answer. Count 1’s in a sorted binary array using binary search iteratively: Check if arr [mid] is less than 1 then move the high to left side (i. . L=0 R=5. e. Maximum sum subarray having sum less than or equal to given sum. Find the total count of sub-arrays having their sum equal to 0. The path may start and end at any node in the tree. A disjoint-set data structure is defined as one that keeps track of a set of elements partitioned into a number of disjoint (non-overlapping) subsets. NOTE: If there is a tie, then compare with segment's length and return segment which has maximum length. The graph is represented as an adjacency matrix of size n*n. Example: Given an array of integers of size ‘n’, Our aim is to calculate the maximum sum of ‘k’ consecutive elements in the array. The step-by-step process for a better understanding of how the algorithm works. Minimum weighted cycle is : Minimum weighed cycle : 7 + 1 + 6 = 14 or 2 + 6 + 2 + 4 = 14. The idea is similar to linear time solution for shortest path in a directed acyclic graph. Examples: Input : n = 3, m = 2 Edges [] = { {1, 2}, {2, 3}} Output : 1. e. 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. In every topic, you can start from questions according to your comfort level. Given a maze with N cells. Hey guys, In this video, we'll be solving Largest Sum Contiguous Subarray Problem using Kadane's Algorithm. Time Complexity: O(N 2 *log(N)) Auxiliary Space: O(N) Efficient Approach: To optimize the above approach, the idea is to make use of Map. Given an array a [] of size N, and Q queries of two types 1 and 2. Given an array Arr of size N, print second largest distinct element from an array. No cycle is formed, include it. We have given numbers in form of a triangle, by starting at the top of the triangle and moving to adjacent numbers on the row below, find the maximum total from top to bottom. . Example 1: Input: N = 3. For example, the number 190 will be represented by the linked list, 1->9-. The solution is based on Maximum sum rectangle in a 2D matrix. Practice. The path may start and end at any node in the tree. Given an N-Ary tree, find and return the node for which sum of data of all children and the node itself is maximum. If 2nd largest element doesn't exist then return -1. 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. Given an array arr[] of size N and an integer K. Below is the dry run of the above approach: Follow the given steps to solve the problem: Create a deque to store K elements. Then the next search space possible will be in the. Instructions. If total array size is not multiple of k, then we can take partial last array. Example 1: Input: 1 / 4 4 / 6. If maxm < 0, then print the value of maxm. The task is to reverse every k nodes (where k is an input to the function) in the linked list. Explanation: The largest subsequence with greatest sum is [12 -5 7 -9] with length 4. Steps to implement: Declare a variable “ans” with value 0 because if no such subarray exists then 0 will be the answer. 1) If count is equal to K, simply return current Node as it. Welcome to my channel. 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. Find the value of the maximum (say M1) and the second maximum (say M2) node’s. 2) Initialize a count variable to 0. Floyd Warshall. Given adjacency list adj as input parameters . K is the size of subarrays and M is the count of subarray. Your Task: You don't need to read or print anything. Sum of these two numbers is 190 + 25 = 215, which will be represented by 2->1->5->null. The sum of nodes considering 2 as the root of subtree is 2 = 2. Maximum sub-array is defined in terms of the sum of the elements in the sub-array. Example 2: Input: nums = [1] Output: 1 Explanation: The subarray [1] has the largest sum 1. Suppose S = “zzwzawa” and K = 2. Approach: The idea is to use the Kadane algorithm to solve this problem. entry/exit points are. Program to find sum of elements in a given 2D array. Frequencies of Limited Range Array Elements. Input: N = 4 Arr[] = {-1,-2,-3,-4} Output: -1 Explanation: Max subarray sum is -1 of element (-1) Your Task: You don't need to read input or print anything. @Mingle_Tech @Code_Star #mingletech #Mingle_TechThank you for watching this video 💛geeks for geeks, Missing Number in matrix, Absolute List Sorting, Bal. Example. 2) Loop through the elements. So, this DSA sheet by Love Babbar contains 450 coding questions which will help in: Understanding each and every concept of DSA. You don't need to read input or print. Input: 10 / \ 2 -25 / \ / \ 20 1 3 4 Output: 32 Explanation: Path in the given tree goes like 10 , 2 , 20 which gives the max sum as 32. Platform to practice programming problems. Given an undirected and unweighted graph. 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. Practice; All DSA Problems; Problem of the Day; GFG SDE Sheet; Curated DSA Lists; Contests; World Cup Hack-A-Thon; GFG Weekly Coding Contest. The task is to find the connected chain with the maximum sum of values among all the connected components in the graph. The difference between two sums varies from -n to n. Let A [] [] be the adjacency matrix representation of the graph. Follow the steps below to solve the problem: Initialize an adjacency list to create a graph from the given set of edges Edges [] []. 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. ; Sort the array in descending order. Explanation: The product of the subarray {1, 5, -6, 9} is -270 which is the minimum possible. Find the maximum for each and every contiguous subarray of size K. Input : K = 2 8 / 5 11 / 2 7 3 Output : 19 Explanation: 2nd largest element is 8 so sum of all elements greater than or equal to 8 are 8 + 11 = 19. Your task is to complete the function print2largest () which takes the array of integers arr and n as parameters and returns an integer denoting the answer. After partitioning, each subarray has their values changed to become the maximum value of that subarray. And how are you relating or detecting entry /exit points?. Your task is to complete the function kthSmallest () which takes the array. The output for the above will be. Practice this problem. 1) If current has no right child a) Increment count and check if count is equal to K. If any of the subarray with size K has the sum equal to the given sum then print YES otherwise print NO. GfG Weekly + You = Perfect Sunday Evenings! Given a number N, the task is to find the largest prime factor of that number. If we calculate A 3, then the number of triangles in Undirected Graph is equal to trace (A 3) / 6. 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. To convert, we do following. Expected Time Complexity: O (n*m) Expected Space Compelxity: O (n) Constraints: 1 <= n <= 100. The web page. Given a singly linked list of size N of integers. For the root node, sum of elements in left subtree is 40. . ; Increase the. Example 1: Input: X = "25", Y = "23" Output: 48 Explanation: The. An empty linked list is considered as c. From a given cell, we are allowed to move to cells (i+1, j) and (i, j+1) only. Lucky numbers are subset of integers. 64 %. Note:The cells are named with an integer value from 0 to N-1. (Node having maximum sum weight ). Master Data Structures concepts such as Linked Lists, Heaps, DP, Graphs, Arrays & more. Initialize a variable sum to 0. Note: edges [i] is defined as u, v and weight. Step 2: Pick edge 8-2. e c}. The task is to find subtree with maximum sum in the tree and return its sum. You are given an array Edge [] of N integers, 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). Below is the complete algorithm for doing this: 1) Initialize the first as 0 (i. Efficient Approach: The idea is to use Binary Search to find the subarray of maximum length having sum K. Solve company interview questions and improve your coding intellectBack to Explore Page. Note: The cells are named with an integer value from 0 to N-1. Example 1: Input: n = 3, edges. Sum of array elements possible by appending arr [i] / K to the end of the array K times for array elements divisible by K. In this case, Kadane’s algorithm will produce the result. The intuition behind this approach is to maintain a max heap (priority queue) of size K while iterating through the array. Steps that were to follow the above approach: Make a variable “ans” and initialize it with the maximum value. Largest sum Zigzag sequence in a matrix; Largest area rectangular sub-matrix with equal number of 1's and 0's; Collect maximum coins before hitting a dead end; Find length of the longest consecutive path from a given starting character; Maximum points from top left of matrix to bottom right and return back; Longest Increasing Path in MatrixAdd this topic to your repo. Find Complete Code at GeeksforGeeks Article: video is contributed by Anant PatniPlease Like,. Time Complexity: O(n log n), where N represents the size of the given array. Geekbits count & redemption. e c} is. Largest number with given sum | Practice | GeeksforGeeks. We need to find the maximum length of cable between any two cities for given city map. 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. Continue this process until head not equal to NULL. Note:The cells are named with an integer. Input : n = 6 1 2 3 // Cable length from 1 to 2 (or 2 to 1) is 3 2 3 4 2 6 2 6 4 6 6 5 5 Output: maximum length of cable = 12. In case you need more clarity about a question, you may use the expected output button to see output for your given input. Assume any vertex (let’s say ‘0’) as source and assign dist = 0. The solution is based on the fact that “ If a graph has no odd length cycle then it must be Bipartite, i. A plus (+) shape has atleast five elements which are { (x-1, y), (x, y-1. Input : 331 Output : 313 Input : 3444 Output : Palindrome cannot be formed. Input: 10 / 2 -25 / / 20 1 3 4 Output: 32 Explanation: Path in the given tree goes like 10 , 2 , 20 which gives the max sum as 32. e. Find three element from different three arrays such that a + b + c =. Explanation: The odd Numbers in the range are -9, -7, -5, -3, -1, 1, 3, 5, 7, 9 and the 8th Largest odd number is -5. Else remove the top element of the stack. Level up your coding skills and quickly land a job. Your Task: You don't have to read input or print anything. Generate an N-length array with sum equal to twice the sum of its absolute difference. The cells are named with an integer value from 0 to N−1. e. Example 1: Input: N = 7 A = {1, 101, 2, 3, 100, 4, 5} Output: {1, 2, 3, 100} Explaination: This subsequence has the highest sum of 106. Examples of linear data structures are array, stack, queue, linked list, etc. Given the graph, Print out the maximum weight Cycle of the graph. In the following code getTargetLeaf () does this by assigning the result to *target_leaf_ref. Given a maze with N cells. The expected time complexity of the above randomized QuickSelect is O (n). Find the maximum possible sum from one leaf node to another. This is the best place to expand your knowledge and get prepared for your next interview. Input: list= [12 4 -5 7 -9] Output: 5. You don't to print answer or take inputs. Linked List 72. Example 1: Input: N = 3 K = 2 Arr = {3,2,1} Output: 5 Explanation: The different subarray sums we can get from the array are = {6,5,3,2,1}. The point at which they meet is the start of the loop. 25 or 1. . Given an array A of size N. Auxiliary Space: O(n), where N represents the size of the given array. Count unique paths with given sum in an N-ary Tree; Convert a Generic Tree(N-array Tree) to Binary Tree; Largest subtree sum for each vertex of given N-ary Tree; LCA for general or n-ary trees (Sparse Matrix DP approach ) Minimum valued node having maximum depth in an N-ary Tree; Number of leaf nodes in the subtree of every. Solve Problem. 0 <= m <= n* (n-1), where m is the total number of Edges in the. Pick the rest of the elements one by one and follow the following steps in the loop. An empty tree is SumTree and the sum of an empty tree can be considered as 0. Given an array arr [] and an integer K. Example 1: Input: N = 7, X = 2 Arr [] = {1, 1, 2, 2, 2, 2, 3} Output: 4 Explanation: 2 occurs 4 times in the given array. 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. For each connected component, the array is analyzed and the maximum contiguous subarray sum is computed based on Kadane’s Algorithm as explained in this article. Find the largest sum of a cycle in the maze; Determine whether a universal sink exists in a directed graph; Roots of a tree which give minimum height; Two Clique Problem (Check if Graph can be divided in two Cliques) Hypercube Graph; A Peterson Graph Problem; Channel Assignment Problem; Number of sink nodes in a graph If there are more than one such subsequences,then print the sequence which ends closest to the starting index of the string. Convert all even weight edges into two. Design 123. Given a binary tree. Step 1: Pick edge 7-6. Sub-array A is greater than sub-array B if sum (A) > sum (B). The idea is similar to linear time solution for shortest path in a directed acyclic graph. . 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. Lexicographically largest permutation possible by a swap that is smaller than a given array; Lexicographical smallest and largest Permutation from Array whose elements are max of Prefix; Non-Divisible Subarray sum permutation; Count of permutations of an Array having maximum MEXs sum of prefix arraysMethod 2: Two Pointers Technique. Largest Sum Cycle | Graphs | GFG POTD | Feb 02 Problem Link: Given an array arr [] of N elements and a number K. Welcome to our daily problem solving session where Siddharth will be tackling the Problem of The Day. After partitioning, each subarray has their values changed to become the maximum value of that subarray. By induction, H has a bipartition (X, Y). Now we will use Kadane’s Algorithm to find the maximum subarray sum and minimum subarray sum. Follow the steps mentioned below to implement the idea: Create a variable halfSum to store half of the overall sum of the array arr[]. Note: The cells are named with an integer value from 0 to N-1. Menu. The idea is to. Given a binary tree with a value associated. Your Task: You don't need to read input or print anything. We can use Hashing to find maximum length of sub-array in 1-D array in O (n) time. Example 2: Input: N = 5 arr [] = 7 10 4 20 15 K = 4 L=0 R=4 Output : 15 Explanation : 4th smallest element in the given array is 15. Solved the problem Split Array Largest Sum using Binary Search; Binary-Search Repo: Day 83. @Mingle_Tech @Code_Star #mingletech #Mingle_TechThank you for watching this video 💛geeks for geeks, Missing Number in matrix, Absolute List Sorting, Bal. Example 1: Input : 1 / 2 3 Output : 1 3 Explanation : There are two levels in the tree : 1. There are as many such arrays as the length of the window. Return -1 if it is not possible. nirazv April 20, 2021, 8:32am 8. Given a weighted directed graph with n nodes and m edges. Now we retrieve min values (2 at a time) of array, by. If the sum of all elements is greater than S and its size is greater than K, then update answer with minimum of answer and length of the subarray. We fix the left and right columns one by one and find the largest sub-array with 0 sum contiguous rows. Where trace (A) is the sum of the elements on the. Algorithm. The task is to find the sum and product of the maximum and minimum elements of the given array. Pre-requisite: BS-18. Find the total count of sub-arrays having their sum equal to 0. Minimize sum of product of same-indexed elements of two arrays by reversing a subarray of one of the two arrays. Given an array. The solution is based on the fact that “ If a graph has no odd length cycle then it must be Bipartite, i. Follow the steps to solve the problem: Use a DFS traversal starting from the root. Find the 0-based index of the first. Approach: The solution can be reached by the following approach:-. Example 1: Input: N = 4 Edge[] = {1, 2, 0, -1} Output: 3. Explanation: Optimal subarrays are {5, -2, 3} and {5} with maximum sum = 11. Follow the steps below to solve the problem: Store all the edges corresponding to all the unique weight in a map M. For a better experience, watch the video at 1. max and update the first max to the current element. Your task is to return the minimized largest sum of the split. Solution. Approach: Using the graph coloring method, mark all the vertex of the different cycles with unique numbers. We build a Min Heap with the elements of the given array, which takes O (n) worst time. Approach: The problem can be solved using the following mathematical idea:. Time Complexity: O (N * 2N) Auxiliary Space: O (N) Efficient Approach: The problem can be solved using Greedy technique. The maximum among all the nodes is the maximum path sum of the tree. Maximum OR sum of sub-arrays of two different arrays. Time Complexity: O (V+E) where V is the number of vertices and E is the number of edges. To convert, we do following. This is the best place to expand your knowledge and get prepared for your next interview. Note: The cells are named with an integer value from 0 to N-1. You are given an array arr[] of size n. So now S will become “awa”. Explanation: The subarray having maximum sum with distinct element is {2, 3, 1, 5}. Example 1: Input: N = 5 Arr[] = {1,2,3,-2,5} Output: 9 Explanation: Max subarray Welcome to my channel. An empty tree is also a S. Sum of upper triangle and lower triangle. Example 1: Input: 10 / 2 -25 / / 20 1 3 4 Output: 32 Explanation: Path in the g. If. org or mail your article to review-team@geeksforgeeks. Find the length of the longest subarray with atmost K occurrences of the integer X. org. The sum of nodes considering -4 as the root of subtree is -4 = -4. Two Sum Using remainders of the elements less than x: The idea is to count the elements with remainders when divided by x, i. 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. 4. This is not true, The graph may have no hamiltonian cycle and in the same time have a circuit with a weight larger then n, consider just the case of a graph with tree vertices, say 1,2,3. The sum is 110 and no two elements are adjacent. A cycle is a path that starts and ends at the same node. In that case you must submit your solution again to maintain the streak and earn a Geek Bit. 138 subscribers. Mark the current element as next. Input: 10 / 2 5 -2 Output: 17 Explanation: Path in the given tree goes like 2 , 10 , 5. Time Complexity: O (N) Below is the implementation of the above approach: C++. Example 1: Input: N = 4 , M = 4 Arr[][] = {{0, 1, 1, 1},Note: If the Graph contains a negative cycle then return an array consisting of only -1. Output : 7 Explanation : 3rd smallest element in the given array is 7. Back to Explore Page. So there are total 2n + 1 possible. -----. If e has one end in X and the other. 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. To get alternating subsequences with maximum length and the largest sum, we will be traversing the whole list (length of list)-1 times for comparing signs. Check for all the values in the array:- If min_so_far is equaled to sum, i. We are given a directed graph. The task is to find the connected chain with the maximum sum of values among all the connected components in the graph. Here adj[i] contains vectors of size 2,Given a binary tree, the task is to find the maximum path sum. For example, the number 190 will be represented by the linked list, 1->9->0->null, similarly 25 by 2->5->null. But in the case of the number of elements being large, the array in which we store the contiguous. This is based on the fact that in order to find the minimum contiguous sum we can first make the elements of the original array negative ie. Examples: {-10, 2, -1, 5}, {-2, 4, -1, 4, -1}. 3) Do following while E is not empty. Keep track of sum of current k elements. Example 1: Input: nums = [-2,1,-3,4,-1,2,1,-5,4] Output: 6 Explanation: The subarray [4,-1,2,1] has the largest sum 6. So the first position of the kth sequence will be occupied by the number present at index = k / (n-1)! (according to 1-based indexing). From the above three questions, I was able to solve the 2 questions completely, and a 7/10 test in the remaining one. Example 1: Input: N = 7 a [] = {2,6,1,9,4,5,3} Output:Given an array arr[] of size N and an integer K. We can use hashmap to store the prefix sum, and if we reach any index for which there is already a prefix with same sum, we will find a subarray with sum as 0. Return -1 if there are no cycles. Example 1: Input: n = 3, edges. In the following code, printPath () does this.