Sum of subarray Efficient Approach: Observe here that if a bit is being set by an element of the array then all subarray having that element will have that bit set. : sum mod k = 0. One can find the sum of contiguous subarray from index i to j as sum[j] – sum[i-1]. Divide the given array in two halves and return the maximum of following three: Maximum subarray sum in left half. Feb 12, 2025 · The article presents methods to find the length of the largest subarray with a sum greater than a given value k, detailing both a naive O(n^2) approach and a more efficient O(n log n) approach using prefix sums and binary search. Given an integer array arr[], the range of a subarray is defined as the difference between the largest and smallest elements within that subarray. Complete the maxSubarray function in the editor below. Example: var arr = [[1,2,3], [4,5,6]]; arr. A pair-sum array for an array is the array that contains sum of all pairs in ordered form, i. Sep 12, 2020 · (See section 3, "Maximum subarray problem". forEach(function(item) { Sum of Subarray Minimums - Given an array of integers arr, find the sum of min(b), where b ranges over every (contiguous) subarray of arr. Oct 3, 2024 · Given an array arr[] of size N and an integer K, the task is to find the length of the largest subarray having the sum of its elements at most K, where K > 0. Example: int [] A = {−2, 1, −3, 4, −1, 2, 1, −5, 4}; Output: contiguous subarray with the largest sum is 4, −1, 2, 1, with sum 6. Sum of Subarray Minimums in Python, Java, C++ and more. Example 1746. Note: There may be more than one subarray with sum as the given sum, print first such subarray. Mar 4, 2024 · Real-World Applications: The longest subarray sum problem finds applications in various domains, including: Financial analysis: Identifying the longest period of profit or loss in stock market data. I'm working on a very large array of subarrays full of numbers that I want to reduce into one sum for each subarray. Solve . size() for(i-> 0 to n-1) A subarray of array of length is a contiguous segment from through where . Idea is to use a similar approach to a sliding window. Return the maximum sum from these subarrays. Jan 8, 2024 · Therefore, the maximum sum of subarray will be: maximumSubArraySum = max_so_far + arr[n-1] max_so_far is the maximum sum of a subarray that ends at index n-2. Intuitions, example walk through, and complexity analysis. Example 1: Input: nums = [1,2,3] Output: 4 Explanation: The 1438. The sum of an array is the sum of its elements. Jul 11, 2022 · Given an array arr[], an integer K and a Sum. def subArraySumOpt(arr_, expected_sum): # Initialize curr_sum as value of first element # and starting point as 0 n = len(arr_) curr_sum = arr_[0] start = 0 Aug 5, 2024 · Time Complexity: O(n), to iterate n times. Given an array of non-negative integers and an integer sum, find a subarray that adds to a given sum. Minimum Length of String After Deleting Similar Ends 1751. Examples: Input: arr[] = [3, 1, 2, 4]Output: 17Explanation: subarra Jan 16, 2025 · What is the Maximum Subarray Sum Problem? At its core, the Maximum Subarray Sum Problem is about finding the contiguous subarray within a one-dimensional array of numbers that has the largest sum. 907. Mar 5, 2025 · Given an array arr[] of length N and an integer K, the task is the find the maximum sum subarray with a sum less than K. Smallest sum of subarray with sum greater than a given value. The task is to find the length of the longest subarray such that sum of the subarray is even. We can also use hashing to find subarrays with the given sum in an array by using a map of lists or a multimap for storing the end index of all subarrays having a Feb 26, 2025 · The sub-array sum is defined as the sum of all elements of a particular sub-array, the task is to find the sum of all unique sub-array sum. Feb 26, 2025 · Return the maximum absolute sum of any (possibly empty) subarray of nums. Jan 6, 2025 · [Naive Approach] – By iterating through every possible solution – O(n C k) Time and O(k) SpaceTo explore all possibilities, we use backtracking. Maximum Absolute Sum of Any Subarray in Python, Java, C++ and more. Maximum subarray sum such that the subarray crosses the Feb 21, 2024 · This loop keeps track of the current subarray sum and the overall maximum sum found so far. Input : N = 4, Sep 1, 2022 · Given an array arr[], an integer K and a Sum. Note: Unique Sub-array sum means no other sub-array will have the same sum value. Length of the longest substring without repeating characters Aug 17, 2023 · If a subarray has sum greater than the given sum then there is no possibility that adding elements to the current subarray the sum will be x (given sum). Feb 19, 2013 · Given an input array we can find a single sub-array which sums to K (given) in linear time, by keeping track of sum found so far and the start position. Given an array of integers, determine the number of k-subarrays it contains. Examples: Input: arr[] = [ 1, 20, 3, 10, 5 ], sum = 33 Mar 29, 2023 · The task is to divide the array into K parts ( subarray ) such that the sum of the values of all subarray is minimum. Feb 28, 2025 · If the maximum subarray sum ending at the previous index is positive, then it is always better to extend the subarray. The following table lists all subarrays and their moduli: Mar 14, 2023 · Maximum contiguous sum is 7 Starting index 2 Ending index 6. Oct 14, 2024 · [Better Approach] Using Prefix and Suffix Sum – O(n) Time and O(n) Space. Examples: Input: arr[] = {1, 4, -3, 9, 5, -6} Output: 14 Explanation: Subarray [9, 5] is the subarray having maximum sum with all non-negative elements. Maximum Subarray Sum With Length Divisible by K in Python, Java, C++ and more. Calculate the sum of elements in the current subarray. The task is to check if there exists any subarray with K elements whose sum is equal to the given sum. Maximum Subarray Sum After One Operation 🔒 1747. Approach: Run a nested loop to generate every subarray. Your task is to return the sum of the ranges of all possible subarrays in the array. Feb 28, 2023 · First initialize the two variable sum=0, sum1=0, variable sum will store the total sum and, with sum1 we will perform bitwise OR operation for each jth element, and add sum1 with sum. Count Triplets That Can Form Two Arrays of Equal XOR; 1443. Example 3: Input: nums = [5,4,-1 Given an array arr. Minimum Time to Collect All Apples in a Tree; 1444. Sum of Unique Elements 1749. Examples: Input: arr[] = {-1, 2, 2}, K = 4 Output: 3 Explanation: The subarray with maximum sum which is less than Find the maximum subarray sum of all the subarrays of nums that meet the following conditions: * The length of the subarray is k, and * All the elements of the subarray are distinct. Jul 15, 2024 · In this method, we traverse over every contiguous subarray, calculate the sum of each subarray, and return the maximum sum among them. The operation is to choose a subarray and divide all elements of the subarray by K. maxSubarray has the following parameter(s): int arr[n]: an array of integers ; Returns Dec 26, 2024 · The article presents methods to count the number of subarrays in an unsorted array that sum to a given integer k, using both a naive nested loop approach and an optimized hash map with prefix sums approach. A good subarray is a subarray where: * its length is at least two, and * the sum of the elements of the subarray is a multiple of k. Dynamic Programming - Maximum Subarray Problem. Given an array of integers arr, find the sum of min(b), where b ranges over every (contiguous) subarray of arr. If no subarray meets the conditions, return 0. May 29, 2018 · A contiguous subarray is simply a subarray of an array with a condition that the elements of the subarray should be in exact sequence as the sequence of the elements in the array. Auxiliary Space: O(1) [Expected Approach] Using Kadane’s Algorithm – O(n) Time and O(1) Space. Subarray Sum Equals K - Given an array of integers nums and an integer k, return the total number of subarrays whose sum equals to k. For example, k = 5 and the array nums = [5, 10, 11, 9, 5]. 7. If there exists such subarray, then print the Leetcode Weekly Contest 441 Solution:-Steps:-1. Note that abs(x) is defined as follows: If x is a negative integer, then abs(x) = -x . You need to find the maximum sum of a subarray. The algorithm can be implemented as follows in C++, Java, and Python: May 5, 2013 · greatest sum sub array such that each element is less than or equal to X. More formally, a sequence s is arithmetic if and only if s[i+1] - s[i] == s[1] - s[0] for all valid i. Example 1: Input: arr = [1,3,5] Output: 4 Explanation: All subarrays are [[1],[1,3],[1,3,5],[3],[3,5],[5]] All sub-arrays sum are [1,4,9,3,8,5]. The value of every subarray is defined as: Take the maximum from that subarray. Build an Array With Stack Operations; 1442. A subarray is a contiguous non-empty sequence of elements within an array. Oct 27, 2024 · Introduction. Oct 6, 2021 · I was solving Kadane's algorithm , a very weird approach came to my mind while solving it. May 26, 2022 · Subarray minimum is the minimum element in any subarray of an array. If the sum of the current subarray is equal to zero then update the maximum length accordingly. Jan 16, 2016 · @Bakuriu [0,0] is the sum of the first 2x2 subarray [or more general the first lxm array) (basically arr[0:2,0:2]. Find and print the minimum possible sum. ) "Maximum subarray problem" via Wikipedia; So, a faster solution to the "Maximum Sum Subarray" problem can simply use kadanes_algorithm: def max_sum_fast(arr): """Solve the 'Maximum Sum Subarray' problem quickly, using Kadane's algorithm. Now is the right time to figure out what the sub-arrays look like. If the maximum subarray sum ending at the previous index is negative, it is always better to start a new subarray from the current element. If there is a prefix with a sum equal to (currSum – target), then the subarray with the given sum is found. Examples: Input: arr[] = {1, 4, 2, 10, 2, 3, 1 Nov 12, 2021 · Also, hash the different values of the sum obtained so far, into a hashmap. Feb 14, 2023 · Time Complexity: O(n*n) Auxiliary Space: O(1) Better solution: A better solution will be using a prefix array i. Start with an empty subarray, add elements to the subarray until the sum is less than x. May 15, 2024 · The "Maximum Subarray Sum problem" entails finding the contiguous subarray within a given array of integers that has the largest sum. Examples: Input: N = 5, arr[] = {3, 1, 2, 7, 4}Output: 1Explanation: There is only 1 subarray with sum divisible by 5, subarray {1, 2, 7}, sum = 10 and 10 is divisible by 5. If it matches, it returns true; if the sum is less than the target, the last index is incremented; if it's greater than the target, then first index is incremented. For example, the maximum subarray sum that ends at n-2 can be calculated as: Continuous Subarray Sum - Given an integer array nums and an integer k, return true if nums has a good subarray or false otherwise. In-depth solution and explanation for LeetCode 1749. Leetflex Banned Accounts 🔒 1748. The sum of subarray minimums is the sum of all the minimums in all subarrays. Examples: Input : arr[] = {3, 4, 5} Output : 40 Explanation: All possible unique sub-array with their sum are as: Aug 11, 2021 · It will take linear time on average to find the AND value of a sub-array and thus, the overall time complexity will be O(n 3). Feb 21, 2025 · Given an array of N elements. If any of the subarray with size K has the sum equal to the given sum then print YES otherwise print NO. . Oct 19, 2021 · This approach takes O(n 3) time as the subarray sum is calculated in O(1) time for each of n 2 subarrays of an array of size n, and it takes O(n) time to print a subarray. At first glance, it looks simple: given an array of integers, you’re tasked with finding Jan 21, 2022 · This insight reduces the processing time for one sub-array to O(n), but there are still n sub-arrays, so we need two more ideas. Sum of Unique Elements; 1749. Time complexity of this approach will be O(N 2). Generate all sub-arrays one by one and check the sum of each subarray. 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. Dec 26, 2024 · The article presents methods to find the smallest subarray with a sum strictly greater than a given number x, including approaches using nested loops, prefix sums with binary search, and a two-pointer technique. Traverse the from 0th position to n-1. sum()) and so on. Maximum Number of Events That Can Be Attended II 1752. You need to return the 1-based indices of the leftmost and rightmost Feb 7, 2025 · Given a pair-sum array construct the original array. Sep 14, 2024 · Time Complexity: O(n 2 *log(n 2)) Auxiliary Space: O(n) Kth largest sum contiguous subarray using Min-Heap: The key idea is to store the pre-sum of the array in a sum[] array. If the sum is equal to given sum, print the subarray and break the loop. Longest Sub-Array with Sum K. Below is the implementation of the above approach: C Binary Subarrays With Sum - Given a binary array nums and an integer goal, return the number of non-empty subarrays with a sum goal. To get that, for each element find the index of Mar 7, 2025 · The article presents a method to find the sum of the contiguous subarray with the smallest sum from a given array of integers, demonstrating both a naive O(n^2) approach and an optimized O(n) approach using Kadane's algorithm. This is also shown in the image above. Example. Minimum Length of String After Deleting Similar Ends; 1751. Note that if the size of input array is n, then the size of pair a In-depth solution and explanation for LeetCode 907. Aug 30, 2024 · Given an integer array arr[], the task is to find the largest sum contiguous subarray of non-negative elements and return its sum. Sep 26, 2024 · Step 7) At the end of these two loops, The max_sum will hold the largest subarray sum. Return the total sum of all elements from the subarray defined for each index in the array. Put the sum and index in the hashmap as a key-value pair. Dec 13, 2024 · Time Complexity: O(N 2 *k), because two loops to find all subarray and one loop to find the maximum and minimum elements in the subarray of size k Auxiliary Space: O(1), because no extra space has been used Given an integer array arr[]. Since the answer may be large, return the answer modulo 10 9 + 7. Jan 12, 2024 · The task is to calculate the sum of all subarrays where each subarray value is the number of elements in the subarray that occurs exactly once. Now, we can apply this assumption to any index in the array. Choice 2: Start a new subarray starting from the current element. In-depth solution and explanation for LeetCode 523. Examples: Input: a Nov 2, 2024 · [Naive Approach] Iterating over all subarrays – O(n 2) Time and O(1) Space:. Commented Jan 19, 2014 at Can you solve this real interview question? Sum of Variable Length Subarrays - You are given an integer array nums of size n. Sum of Subarray Minimums Description. Continuous Subarray Sum in Python, Java, C++ and more. Input: arr[] = 199. Maximum Score From Removing Stones; 1754. Sum of Subarray Minimums. Apr 18, 2023 · Simple Approach: A simple approach is to find the bitwise OR of each subarray of the given array using two nested loops, and then find the total sum. Longest Continuous Subarray With Absolute Diff Less Than or Equal to Limit; 1439. Example 1: Input: nums = [1,2,3] Output: 4 Explanation: The 1746. Jan 28, 2017 · The maximum subarray sum is a famous problem in computer science. 题目; 题目大意; 解题思路; 代码; 907. Given an element array of integers, , and an integer, , determine the maximum value of the sum of any of its subarrays modulo . We split this array at the minimum element and recursively investigate the left sub-array and the right The helper method is used to sum the subarray created and then hasConsec checks if it matches the target, if it's greater than the target, or if it's less than the target. Add to cart2. 4. This array represents the sequence of numbers from which we need to find the contiguous subarray with the largest sum. In a circular array, the maximum subarray sum can be either the maximum normal sum, which is the highest sum of a non-circular array, or the maximum circular sum, which includes elements from both the start and the end of the array. Maximum Number of Events That Can Be Attended II; 1752. Return the sum of all subarray ranges of nums. Examples: Input: arr[] = {-1, 2, 2}, K = 4 Output: 3 Explanation: The subarray with maximum sum which is less than In-depth solution and explanation for LeetCode 3381. Note: If K is less than the minimum element, then return INT_MIN. What if we find a way to find out the sum of all the elements of all possible subarrays forming from an ar Dec 8, 2023 · We are using a nested loop for finding the subarray with sum k and inside the nested loop there is another loop to sum all the elements of the subarray. This is because continuing with a negative sum is way more worse than restarting with a new range. 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. Maximizing the Subarray Sum: As the loop iterates through the array, it adds each element to the current Oct 1, 2023 · Given an array arr[] of N integers and a positive integer K, the task is to minimize the sum of the array elements after performing the given operation atmost one time. Maximum Absolute Sum of Any Subarray 1750. There are at least two solutions: Brute force, find all the possible sub arrays and find the maximum. made of contiguous elements in the array; The sum of the subarray elements, s, is evenly divisible by _k, _i. Number of Ways of Cutting a Pizza; 1446 Sep 11, 2024 · Time complexity: O(n 2), as we are iterating over all possible subarrays. – Voo. The idea is similar to Kadane’s Algorithm with the only difference that here, we need to keep track of the start and end of the subarray with maximum sum, that is the result array. , for every index ‘i’ of the array ‘arr[]’ create a prefix array to store the XOR of all the elements from the left end of the array ‘arr[]’ up to the i th element of ‘arr[]’ Creating a prefix array will take a time of O(N). Nov 28, 2024 · Learn to solve the Maximum Subarray problem efficiently using Kadane's Algorithm, reducing computation time from O(n^2) to O(n) Can you solve this real interview question? Arithmetic Subarrays - A sequence of numbers is called arithmetic if it consists of at least two elements, and the difference between every two consecutive elements is the same. Prefix Sum Approach: O(n) O(n) The code iterates through the array once, and for each element, it performs constant-time operations (lookups and updates in the unordered_map). Jul 26, 2024 · Time Complexity: O(N^2) Auxiliary Space: O(1) Method 2: Using Kadane’s Algorithm. 2. Efficient Solution: For the sake of better understanding, let’s assume that any bit of an element is represented by the variable ‘i’, and the variable ‘sum’ is used to store the final sum. Maximum Subarray Sum After One Operation; 1748. Note: If there are multiple answers then print the sum of the original subarray having Dec 24, 2024 · Please refer to Maximum Subarray Sum for implementation. Examples: Input: arr[] = [1, 2, 3] Output: 20 Explanation: All subarray sums are: [1] = 1, [2] = 2, [3] = 3, [1,2] = 3, [2,3 Can you solve this real interview question? Sum of Subarray Ranges - You are given an integer array nums. Examples: Input : N = 6, arr[] = {1, 2, 3, 2, 1, 4}Output : 5Explanation: In the example the subarray in range [2, 6] has sum 12 which is even, so the length is 5. If this value of sum has exceeded k by a value of sum – k, we can find the number of subarrays, found so far with sum = sum – k, from our hashmap. Example 1: Input: nums = [2,3,1] Output: 11 Explanation: i Subarray Sum Given an array arr containing positive integers, find the sum of the minimum element of all subarrays. Find the Kth Smallest Sum of a Matrix With Sorted Rows; 1441. Nov 26, 2024 · Given an array of positive and negative numbers, the task is to find if there is a subarray (of size at least one) with 0 sum. Take the sum of all the values after subtraction. At each step, the array is divided into subarrays, and the sum of each subarray is calculated. Next, while we’re looking for a valid end, we’ll add the current number to the sum of that subarray. Sep 25, 2024 · Upon constructing the subarrays we will check if their sum equals k and upon finding such a subarray, we add to the final answer. The maximum subsequence sum is comprised of elements at indices and their sum is . Find maximum (or minimum) sum of a subarray of size k. Check if Array Is Sorted and Rotated; 1753. Set sum=0,k=0,ans=0,n=nums. Sum of Subarray Minimums - Given an array of integers arr, find the sum of min(b), where b ranges over every (contiguous) subarray of arr. Then, we’ll fix it for each start and try all the possible ends. Find the sum of all subarrays of the array since the sum could be very large print the sum modulo (109+7). A subarray is a contiguous part of the array. Kadane’s Algorithm can be viewed both as a greedy and DP. Imagine you’re on a road trip, and you want to find the stretch of highway that gives you the best views (or the best snacks). Optimized Solution (Space Optimization) : An Efficient Solution is based on the fact that sum of a subarray (or window) of size k can be obtained in O(1) time using the sum of the previous subarray (or window) of size k. Feb 28, 2023 · Given an array arr[] consisting of N positive integers and an integer K, the task is to find the maximum sum of array elements in a subarray having maximum sum of distinct prime factors in each K-length subarray. Kadane’s Algorithm provides an efficient way to find the maximum subarray sum in linear time by maintaining a running sum of the subarray and updating the maximum sum encountered so far. Auxiliary Space: O(k) , to store k elements inside queue. For example, these are arithmetic sequences: 1, 3, 5, 7, 9 7, 7, 7, 7 3 The maximum subarray sum is comprised of elements at inidices . This subarray is either empty (in which case its sum is zero) or consists of one more element than the maximum subarray ending at the previous index. Mar 6, 2025 · If the sum is equal to target_sum then print that the subarray with the given sum is from 0 to i; If there is any key in the HashMap which is equal to curr_sum – target_sum then print that the subarray with the given sum is from hm[curr_sum – target_sum] + 1 to i. Smallest window in a String containing all characters of other String. Examples: Input: N = 3 Sep 14, 2022 · The idea is to maintain a maximum (positive-sum) subarray “ending” at each index of the given array. The range of a subarray of nums is the difference between the largest and smallest element in the subarray. Proceed Payment3. Maximum Absolute Sum of Any Subarray; 1750. for example if the array is [1,2,3,4,5] then [1,3,5] is a subarray of the array, but not a contiguous subarray since the sequence does not match as the elements 2 and Jan 19, 2023 · How to Find SubArray with Given Sum: This problem is also known as subarray sum equals k. Since the answer can be very large, return it modulo 109 + 7. To know more about the implementation, please refer Subarray with Given Sum – Handles Negative Numbers. Therefore, for every index i, if we can find the count of prefixes before i which have sum = P - X, we can add the count to our answer and the sum of count for all indices will be the final answer. Examples:. Since the answer may be large, return the answer modulo 109 + 7. If the current sum becomes greater than the A k-subarray of an array is defined as follows: It is a subarray, i. Otherwise Jul 11, 2022 · Given an array arr[] of length N. If the sum equals k at any point in the array, increment the count of subarrays by 1. Examples: Input: {4, 2, -3, 1, 6}Output: true Explanation:There is a subarray with zero sum from index 1 to 3. Use a variation of Kadane's Algorithm to compute the global max while going through the first pass of the array. Examples: Input: arr[] = [2, 3, -8, 7, -1, 2, 3] Output: 11 Explanation: The subarray {7 Mar 28, 2024 · Now if there is an index j (j < i) such that sum of arr[0j] = P - X, then the sum of subarray arr[j+1i] will be equal to X. Since the answer may be large, return the answer modulo 10^9 + 7. Largest Merge Of Given an array arr[] containing only non-negative integers, your task is to find a continuous subarray (a contiguous sequence of elements) whose sum equals a specified value target. Maximum subarray sum in right half. Sliding Window Maximum (Maximum of all subarrays of size K) Solve . Hashing. [Better Approach] Using Divide and Conquer – O(n*logn) time and O(n) space. Dec 21, 2021 · Create three variables, l=0, sum = 0; Traverse the array from start to end. Objective: The maximum subarray problem is the task of finding the contiguous subarray within a one-dimensional array of numbers that has the largest sum. Example 1: Feb 19, 2025 · Find Subarray with given sum. Subtract each element of the subarray with the maximum. Pseudo Code for Simple approach function maximumSubarraySum(): input: array for all possible subArray from array: calculate sum of each sub array store the maximum subArray return the maximum sum C++ Implementation of Simple Approach May 18, 2021 · Given, an array A[] of N integers, and also given two positive integers B and C, the task is to find the number of subarrays, such that B* Sum of elements of the subarray = C * Length of the subarray (here * describes multiplication). If the sum of the current subarray is equal to at some moment, we’ll increase the answer by one. For each index i where 0 <= i < n, define a subarray nums[start i] where start = max(0, i - nums[i]). Sum of Subarray Minimums # 题目 # Given an array of integers A, find the sum of min(B), where B ranges over every (contiguous) subarray of A. Function Description. Mar 29, 2021 · # An efficient program to print subarray # with sum as given sum # Returns true if there is a subarray # of arr[] with sum equal to 'sum' # otherwise returns false & prints # the result. , pair[0] is sum of arr[0] and arr[1], pair[1] is sum of arr[0] and arr[2] and so on. May 25, 2018 · 907. e. Their sum is . Can you solve this real interview question? Number of Sub-arrays With Odd Sum - Given an array of integers arr, return the number of subarrays with an odd sum. 1746. The first sub-array is the whole array. Return the maximum subarray sum of all the subarrays that meet the conditions. Odd sums are [1,9,3,5] so the Mar 18, 2024 · Initially, we’ll go through every possible start of a subarray. Note that: * A subarray is a contiguous part of the array. For each ith variable we will perform bit wise OR operation on all the sub arrays to find the total sum. Largest Merge Of Mar 28, 2024 · Given an array arr[] of N integers, your task is to count the number of subarrays where the sum of values is divisible by N. Can you solve this real interview question? Sum of Subarray Ranges - You are given an integer array nums. Get the PDf file of solution(A) Maximum Unique Subarray Sum After Deletion-- LeetCode Solutions in C++20, Java, Python, MySQL, and TypeScript. The task is to check if there exists any subarray whose sum is a multiple of N. Let’s dive into one of the more interesting algorithm problems, Subarray Sum Equals K. Input: The input to the Max Subarray Sum problem is an array of integers. Oct 12, 2022 · Given an array arr[] of length N and an integer K, the task is the find the maximum sum subarray with a sum less than K. Since the answer may be very large, return the answer modulo 109 +7. Update the variable sum by adding current element, sum = sum + array[i] If the sum is greater than the given sum, update the variable sum as sum = sum – array[l], and update l as, l++. Input: {4, 2, 0, 1, 6}Output: trueExplanation: The third eleme Dec 30, 2024 · So to check if there is a subarray with a sum equal to target, check for every index i, and sum up to that index as currSum. Example 2: Input: nums = [1] Output: 1 Explanation: The subarray [1] has the largest sum 1. As we can see that we are keeping a running sum of integers and when it becomes less than 0, we reset it to 0 (Greedy Part). itpjlg zxeewno vze trnekei fzlf otfq oiwra iiaqlvw hyakk cwtl jarslh mrcsc veskiz ayd fxpbtug