1. Find centralized, trusted content and collaborate around the technologies you use most. Time Complexity is of O (n^2). Using an unordered_set, much like the above solution. Time complexity O(N^2.Sum). 2 How to find longest sub-array with sum k? To learn more, see our tips on writing great answers. How to find the next number in a sequence? 2D linked list vs. multidimensional array/vector, Finding the first subarray that sums to a given total, Find path of steepest descent along with path length in a matrix, How should I apply dynamic programming on the following problem, Generic Doubly-Linked-Lists C implementation. subarray Is there a maximum even sum for K? By using our site, you scanning array one by one. Asking for help, clarification, or responding to other answers. Which is an example of subarray sum equals K? By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Interview Experience Not the answer you're looking for? void findSubsequences(NUMS, K, CURRINDEX, MAXIMUMSUM, SUBSEQUENCE) : If 'CURRINDEX' equals 'NUMS.size', then, Did the drapes in old theatres actually say "ASBESTOS" on them? However, it consumes O(n^2) time. Given an array arr [] consisting of N positive integers, and an integer K, the task is to find the maximum possible even sum of any subsequence of size K. If it is not possible to find any even sum subsequence of size K, then print -1. Input: A = [4,5,0,-2,-3,1], K = 5 Output: 7 Explanation: There are 7 subarrays with a sum divisible by K = 5: [4, 5, 0, -2, -3, 1], [5], [5, 0], [5, 0, -2, -3], [0], [0, -2, -3], [-2, -3]. best red light therapy devices 2022; Making statements based on opinion; back them up with references or personal experience. 5 How to find the next number in a sequence? Step 2: Try out all possible choices at a given index. dp[ind][target] = dp[ind-1][target] || dp[ind-1][target-arr[ind]]. How does claims based authentication work in mvc4? question is to find if 2 numbers in array sums up to a number or not and what you are saying is for finding count of pairs. Samsung We have two choices: Exclude the current element in the subsequence: We first try to find a subsequence without considering the current index element. | Introduction to Dijkstra's Shortest Path Algorithm. Why is it shorter than a normal address? Did the drapes in old theatres actually say "ASBESTOS" on them? HackerEarth Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Check whether sum is present in the hash table or not. Asking for help, clarification, or responding to other answers. Is using ArrayList.contains() inside a for loop actually more efficient than using nested loops to compare? Your answer will be much more useful if you include an explanation of how your code answers the question. @GabrielIvascu: n*(n+1)/2=(n) - read up on the big-oh notation, e.g. Here is the code in java with O(N) complexity : Here is a Java implementation with the same time complexity as the algorithm used to sort the array. Special thanks toAnshuman SharmaandAbhipsita Das for contributing to this article on takeUforward. Which ability is most related to insanity: Wisdom, Charisma, Constitution, or Intelligence? Is there any way to improve the time complexity to O(N.Sum). First, we need to initialize the base conditions of the recursive solution. The Java code doesn't match the description. takeuforward Can you suggest a better solution than this? Note: Readers are highly advised to watch this video Recursion on Subsequences to understand how we generate subsequences using recursion. So the return value is int. You could improve this logic by using a list comprehension: there's a chance of false-postive, refer @saurabh's answer comment section. Similarly, we can generalize it for any index ind as follows: Step 2: Try out all possible choices at a given index. A simple way is to generate all the substring and check each one whether it has exactly k unique characters or not. Here's my try. Therefore, we return or(||) of both of them. rev2023.5.1.43405. DSA Self Paced I came to the conclusion that there are N * (N + 1) / 2 such possible subsequences which would conclude in O(N^2) complexity if using a naive algorithm that exhaustively searches over all the possible solutions. Hence we can space optimize it. Input : 100 Output : 455 4*5*5 = 100 and 455 is the smallest possible number. Approach 1: Prefix sums using dictionary This approach works in the same manner as for Problem 1. Did the Golden Gate Bridge 'flatten' under the weight of 300,000 people in 1987? Disclaimer: Dont jump directly to the solution, try it out yourself first. The best answers are voted up and rise to the top, Not the answer you're looking for? But it turns out, nobody asked you to solve Y, and you don't need it to solve the original problem X. inorder We see that to calculate a value of a cell of the dp array, we need only the previous row values (say prev). Example: Given array = [-1,2,-2,5,7,-3,1] and the maximum sum subarray for this will be 12 [2,-2,5,7]. This is similar to 2-sum and to "find max subarray". @NPE I don't see how there are n uninterrupted subsequences and not n*(n+1)/2. | Introduction to Dijkstra's Shortest Path Algorithm. While doing so compute the sum and of the two elements and check if it is equal to k. If ye, print Yes, else keep searching. @GabrielIvascu No, I think there is 4 instead of 3 there. . Newfold Digital If here the sum has been found as X, then increase the count of the subset by 1. Adding EV Charger (100A) in secondary panel (100A) fed off main (200A), Embedded hyperlinks in a thesis or research paper. rev2023.5.1.43405. It will return true by adding number to itself also. Note: We will consider the current element in the subsequence only when the current element is less or equal to the target. We can set its type as bool and initialize it as false. By using our site, you 565), Improving the copy in the close modal and post notices - 2023 edition, New blog post from our CEO Prashanth: Community is the future of AI. In order to convert a recursive solution the following steps will be taken: Reason: There are N*K states therefore at max N*K new problems will be solved. SDE Sheet LeetCode solutions LeetCode solutions Introduction Solutions 1 - 50 1Two Sum - Medium 2 Add Two Numbers - Medium 3 Longest Substring Without Repeating Characters 4 Median of Two Sorted Arrays 5 Longest Palindromic Substring 6 ZigZag Conversion - Easy 7 Reverse Integer - Easy 8 String to Integer (atoi) - Easy This cookie is set by GDPR Cookie Consent plugin. Does a password policy with a restriction of repeated characters increase security? A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. We need to generate all the subsequences. In the case that it does not, the algorithm is obviously correct. How to return 'True' if given number is the sum of two different number present in the list , in one pass only? A solution that can further reduce it's time complexity. How do I fix failed forbidden downloads in Chrome? To learn more, see our tips on writing great answers. Should I re-do this cinched PEX connection? 4 Whats the smallest number k that can be formed? Create a dp array of size [n][k+1]. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. This cookie is set by GDPR Cookie Consent plugin. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Which reverse polarity protection is better and why? Where does the version of Hamapil that is different from the Gemara come from? Interpreting non-statistically significant results: Do we have "no evidence" or "insufficient evidence" to reject the null? Software Engineering Stack Exchange is a question and answer site for professionals, academics, and students working within the systems development life cycle. Interpreting non-statistically significant results: Do we have "no evidence" or "insufficient evidence" to reject the null? TCS Ninja @MBo if the question was not limited upto two numbers, then what should be the approach? Why refined oil is cheaper than cold press oil? This question was asked in the Google programming interview. Thus overall it would go O (n*n*n). /* Given a list of numbers and a number k , return weather any two numbers from the list add up to k. Connect and share knowledge within a single location that is structured and easy to search. as each of the above are the start and end index of the subsequences with sum equal to zero. Weighted sum of two random variables ranked by first order stochastic dominance. The size of the input array is n, so the index will always lie between 0 and n-1. arrays What are the advantages of running a power tool on 240 V vs 120 V? How can I pair socks from a pile efficiently? Initialize sum = 0 and maxLen = 0. Posts: 2. Step 2> Somewhere along the line while adding we came across 5, we say ok cool. The code would execute in O(n) complexity with the use of dictionary. Content Discovery initiative April 13 update: Related questions using a Review our technical responses for the 2023 Developer Survey. Please enter integer sequence (separated by spaces or commas): Example ok sequences: 1, 2, 3, 4, 5 1, 4, 9, 16, 25. Get the array for which the subsets with the sum equal to K is to be found. Therefore, any algorithm that prints out the start and end index of all the required subsequences will necessarily have o(n) worst-case complexity. Number of Subsequences That Satisfy the Given Sum Condition 1499. There are potentially (n) uninterrupted subsequences that add up to zero, as in the following example: (Here, every subsequence adds up to zero.). So, we dont need to store an entire array. Top 50 Array Coding Problems for Interviews, Maximum and minimum of an array using minimum number of comparisons. Find centralized, trusted content and collaborate around the technologies you use most. My function shifts a window of k adjacent array items across the array A and keeps the sum up-to-data until it matches of the search fails. We will be using the problem Subset Sum Equal to K. Hypothesis: Find all uninterrupted subsequences whose sum is equal to zero, stackoverflow.com/questions/3230122/big-oh-vs-big-theta, How a top-ranked engineering school reimagined CS curriculum (Ep. I have shown the solution using many approaches. These cookies track visitors across websites and collect information to provide customized ads. Find all the subsequences of length. Finally, i have shown the CODE for the optimal approach and the CODE LINK is given below as usual. Here is a C implementationFor Sorting O(n2) time and space complexity.For Solving Problem We use If you also wish to share your knowledge with the takeUforward fam,please check out this article, (adsbygoogle=window.adsbygoogle||[]).push({}), Accolite Digital After applying partial_sum, you can find the sum of elements in a subrange by subtracting two integers. Now do brute force on the 15 elements via recursion(two options-choose or not choose for sum). Count of Range Sum 328. C++ Server Side Programming Programming. If any of the above subproblems return true, then return true. Amazing! If it could have been same, only the order of adding it to set will change before comparison. We will start from element 10, index=3, let's denote the index with 'j'. TCS NQT Content Discovery initiative April 13 update: Related questions using a Review our technical responses for the 2023 Developer Survey. Find all subsequences with sum equals to K; Subarray with XOR less than k; Count the number of subarrays having a given XOR; Range Queries to Find number of sub-arrays with a given xor; Number of subarrays such that XOR of one half is equal to the other; Number of subarrays having sum exactly equal to k; Print all subsequences of a string Here h is height of the tree and the extra space is used due to recursive function call stack. If yes, we will update the maxCount. getline() Function and Character Array in C++, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). This website uses cookies to improve your experience while you navigate through the website. A DP solution maybe? Not the answer you're looking for? Where does the version of Hamapil that is different from the Gemara come from? Can I use an 11 watt LED bulb in a lamp rated for 8.6 watts maximum? Subarray/Substring vs Subsequence and Programs to Generate them, Find Subarray with given sum | Set 1 (Non-negative Numbers), Find subarray with given sum | Set 2 (Handles Negative Numbers), Find all subarrays with sum in the given range, Smallest subarray with sum greater than a given value, Find maximum average subarray of k length, Count minimum steps to get the given desired array, Number of subsets with product less than k, Find minimum number of merge operations to make an array palindrome, Find the smallest positive integer value that cannot be represented as sum of any subset of a given array, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). This video explains a very important programming interview problem which is to count the number of subarrays in a given array with sum exactly equals to K. This is leetcode #560 coding problem. A naive solution would be to cycle through all subsets of n numbers and, for every one of them, check if the subset sums to the right number. In order to form a subset, there are two cases for every element: Therefore, the following steps can be followed to compute the answer: From the above approach, it can be clearly analyzed that if there are N elements in the array, then a total of 2N cases arise. Divide array in two Subsets such that sum of square of sum of both subsets is maximum, Partition an array of non-negative integers into two subsets such that average of both the subsets is equal, Sum of subsets of all the subsets of an array | O(3^N), Sum of subsets of all the subsets of an array | O(2^N), Sum of subsets of all the subsets of an array | O(N), Split an Array A[] into Subsets having equal Sum and sizes equal to elements of Array B[]. Example 2: Which was the first Sci-Fi story to predict obnoxious "robo calls"? I've updated the output to only print the start and end index. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. We need to generate all the subsequences. I tried the general method of first creating subsequences and then checking the condition if it exists between a and b or not. So, if the input is like nums = [4,6,7,8] k = 11, then the output will be 4 . rev2023.5.1.43405. can i also optimize it? As we are looking for only one subset, if any of the one among taken or not taken returns true, we can return true from our function. The cookie is used to store the user consent for the cookies in the category "Other. Strivers A2ZDSA Course Python Implementation: Add to List. | Introduction to Dijkstra's Shortest Path Algorithm. A Computer Science portal for geeks. Am I missing something? The first row dp[0][] indicates that only the first element of the array is considered, therefore for the target value equal to arr[0], only cell with that target will be true, so explicitly set dp[0][arr[0]] =true, (dp[0][arr[0]] means that we are considering the first element of the array with the target equal to the first element itself). You can't find all contiguous subsequences in less than O(n^2) because there are n^2/2 of them. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Initially, we'll go through every possible start of a subarray. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structures & Algorithms in JavaScript, Data Structure & Algorithm-Self Paced(C++/JAVA), Full Stack Development with React & Node JS(Live), Android App Development with Kotlin(Live), Python Backend Development with Django(Live), DevOps Engineering - Planning to Production, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Find all subsequences with sum equals to K, Number of subarrays having sum exactly equal to k, Count the number of subarrays having a given XOR, Range Queries to Find number of sub-arrays with a given xor, Number of subarrays such that XOR of one half is equal to the other, Print all subsequences of a string | Iterative Method, Print all subsequences of a string using ArrayList. If we apply this brute force, it would take O (n*n) to generate all substrings and O (n) to do a check on each one. Are you sure you want to create this branch? Short story about swapping bodies as a job; the person who hires the main character misuses his body. Find all subsequences with sum equals to K Read Discuss Courses Practice Video Given an array arr [] of length N and a number K, the task is to find all the subsequences of the array whose sum of elements is K Examples: Input: arr [] = {1, 2, 3}, K = 3 Output: 1 2 3 Input: arr [] = {17, 18, 6, 11, 2, 4}, K = 6 Output: 2 4 6 Otherwise, current indices [i, j] of sum_so_far will be answer. 6 How to count number of substrings with exactly k distinct characters? Elements are added after checking if a previous item made a pair. Example 1: Input: nums = [2,1,3,3], k = 2 Output: [3,3] Explanation: The subsequence has the largest sum of 3 + 3 = 6. Passing negative parameters to a wolframscript. j will increment and add current number to the sum until sum becomes greater than k. Once it is greater, we will calculate the length of this sub-sequence and check whether it is bigger than previous subsequence. in case i dont want them printed. How to split a string in C/C++, Python and Java? It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Assuming we're working with contiguous subsequences, you might be able to improve your efficiency by using std::partial_sum. post order This could actually be solved without the queue in linear time (negative numbers allowed). Assume a[0,n] contains p1 and p2. Explain how this works, and why it's better than O(n^2), find longest subsequence with sum less than or equal to k, How a top-ranked engineering school reimagined CS curriculum (Ep. j will increment and add current number to the sum until sum becomes greater than k. Once it is greater, we will calculate the length of this sub-sequence and check whether it is bigger than previous subsequence. This is java implementation with O(n) Time complexity and O(n) space. elf bar 5000 price. TCS CODEVITA Kreeti Technologies We will use the pick/non-pick technique as discussed in this video " Recursion on Subsequences ". We repeat step 2 until we either reach the end of sequence or find the matching subsequence. Learn Data Structures with Javascript | DSA Tutorial, Introduction to Max-Heap Data Structure and Algorithm Tutorials, Introduction to Set Data Structure and Algorithm Tutorials, Introduction to Map Data Structure and Algorithm Tutorials, What is Dijkstras Algorithm? I came up with two solutions in C++. Exclude the last element, recur for n = n-1. This reaches the goal without any overhead. Design a File Sharing System . Assuming you can use a queue of length K something like that should do the job in linear time. "Signpost" puzzle from Tatham's collection, Adding EV Charger (100A) in secondary panel (100A) fed off main (200A). These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Hashing Say we have the sorted array, {3,5,7,10} and we want the sum to be 17. Search in a dictionary has an average complexity as O(1). How to find all subsequences with sum equal to K? Naive Approach 3.1. Bank of America What does the SwingUtilities class do in Java? Maximum Size Subarray Sum Equals k 326. If we exclude the space used to store the result. 565), Improving the copy in the close modal and post notices - 2023 edition, New blog post from our CEO Prashanth: Community is the future of AI. This, much like many answers here will not account for k/2 == i, resulting in false-positives. Given an array arr[] of length N and an integer X, the task is to find the number of subsets with a sum equal to X using recursion.Examples: Input: arr[] = {2, 3, 5, 6, 8, 10}, X = 10Output: 3Explanation:All possible subsets with sum 10 are {2, 3, 5}, {2, 8}, {10}, Input: arr[] = {1, 2, 3, 4, 5}, X = 7Output: 3Explanation:All possible subsets with sum 7 are {2, 5}, {3, 4}, {1, 2, 4}. Steps to convert Recursive Solution to Tabulation one. Based on your English description, I'm not sure where O(n^3) comes from. What are the arguments for/against anonymous authorship of the Gospels. As we can see, the answer here is four because there are subarrays with a sum equal to . Given an array arr [] of length N and a number K, the task is to find all the subsequences of the array whose sum of elements is K Recommended: Please try your approach on {IDE} first, before moving on to the solution. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. I already made a video on the latter: https://youtu.be/umt7t1_X8Rc. Instead of recursive calls, we will use the dp array itself. We can solve the problem in Pseudo-polynomial time using Dynamic programming. So, we have to traverse the array in descending order and when we find arr[i]<=k, we will include arr[i] in the set and subtract arr[i] from K and continue the loop until value of K is equal to zero.If the value of K is zero then there is a subsequence else not. Given an array A and a sum, I want to find out if there exists a subsequence of length K such that the sum of all elements in the subsequence equals the given sum. How to find the sum of the arithmetic sequence? Binary Search Tree Therefore we take the dp array as dp[n][k+1]. Please enter integer sequence (separated by spaces or commas). My second solution I was able to implement in O(N) time. We need to find if there is a subset in ARR with a sum equal to K. If there is, return true else return false. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Extracting arguments from a list of function calls, Canadian of Polish descent travel to Poland with Canadian passport, Adding EV Charger (100A) in secondary panel (100A) fed off main (200A). Connect and share knowledge within a single location that is structured and easy to search. Program for array left rotation by d positions. The array will have an index but there is one more parameter target. This function will find all subsequences of size K and update the 'MAXIMUMSUM' with the maximum sum among all these subsequences, and if there is no such subsequence, it will remain -1. This cookie is set by GDPR Cookie Consent plugin. SDE Core Sheet :). Time Complexity: O(2^N)Efficient Solution: We are given arr[i] >2*arr[i-1] so we can say that arr[i] > ( arr[i-1] + arr[i-2] + + arr[2] + arr[1] + arr[0] ).Let us assume that arr[i] <= K ( arr[i-1] + arr[i-2] + + arr[2] + arr[1] + arr[0] ) ), so we have to include arr[i] in the set . Below is the implementation of the above approach: Time Complexity: O(2n)Auxiliary Space: O(n). O(n^2). Therefore, you cannot hope for a linear algorithm, unless your array A has special properties. Program for array left rotation by d positions. 282K subscribers Find a subarray with maximum sum of elements. Can I use my Coinbase address to receive bitcoin? Suppose we have an array of integers and an integer k, we need to find the total number of continuous subarrays whose sum same as k. So if nums array is [1, 1, 1] and k is 2, then the output will be 2. We will use the pick/non-pick technique as discussed in this video " Recursion on Subsequences ". If you do allow adding a number to itself, then the second implementation could be simplified to: this function takes 2 parameters and loop through the length of list and inside the loop there is another loop which adds one number to other numbers in the list and check there sum if its equal to k or not. Here's Python. Quick Edit, For this to work with negative numbers in the second example, you just need to remove the abs function. Below is the Implementation of above approach: Check whether (i,j) exists such that arr[i] != arr[j] and arr[arr[i]] is equal to arr[arr[j]], Maximum value of |arr[0] - arr[1]| + |arr[1] - arr[2]| + +|arr[n - 2] - arr[n - 1]| when elements are from 1 to n, Count pairs (i, j) from an array such that |arr[i]| and |arr[j]| both lies between |arr[i] - arr[j]| and |arr[i] + arr[j]|, Check whether there exists a triplet (i, j, k) such that arr[i] < arr[k] < arr[j] for i < j < k, Minimize last remaining element of Array by selecting pairs such that arr[i] >= arr[j] and replace arr[i] with arr[i] - arr[j], Count of pairs (arr[i], arr[j]) such that arr[i] + j and arr[j] + i are equal, Rearrange array such that arr[i] >= arr[j] if i is even and arr[i]<=arr[j] if i is odd and j < i, Count the number of pairs (i, j) such that either arr[i] is divisible by arr[j] or arr[j] is divisible by arr[i], Count number of pairs (i, j) such that arr[i] * arr[j] = arr[i] + arr[j], Count quadruples (i, j, k, l) in an array such that i < j < k < l and arr[i] = arr[k] and arr[j] = arr[l], Learn Data Structures with Javascript | DSA Tutorial, Introduction to Max-Heap Data Structure and Algorithm Tutorials, Introduction to Set Data Structure and Algorithm Tutorials, Introduction to Map Data Structure and Algorithm Tutorials, What is Dijkstras Algorithm? Can you suggest a way through which I can go about if the question has asked n element sub-sequence that adds up to sum k? $\endgroup$ - BFS Apply this for every element in the array by reducing the sum, if the element is included otherwise search for the subsequence without including it. Count Artifacts That Can Be Extracted O(n). Why is Tail Recursion optimization faster than normal Recursion? How to find the maximum and minimum of K numbers? Whenever we want to find the answer of particular parameters (say f(ind,target)), we first check whether the answer is already calculated using the dp array(i.e dp[ind][target]!= -1 ). It does not store any personal data. Content Discovery initiative April 13 update: Related questions using a Review our technical responses for the 2023 Developer Survey, Find all files in a directory with extension .txt in Python, Generate an integer that is not among four billion given ones, Given a set of n integers, list all possible subsets with sum>=k, Given an array, print all possible contiguous subsequences whose sum is divisible by a given number x, Given a list of n integers , find the minimum subset sum greater than X, Algorithm to find three elements which sum to zero in O(n log n) time complexity. Printing out their elements will require (n) time. At last we will return dp[n-1][k] as our answer. Is there any known 80-bit collision attack. The complexity of the subset sum problem is known to be exponential. infosys By using our site, you We are given the initial problem to find whether there exists in the whole array a subsequence whose sum is equal to the target. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. We are allowed to take any k integers from the given array. The running time is of order O(2 n.n) since there are 2 n subsets, and to check each subset, we need to sum at most n elements.. A better exponential-time algorithm uses recursion.Subset sum can also be thought of as a special case . Content Discovery initiative April 13 update: Related questions using a Review our technical responses for the 2023 Developer Survey, Finding three elements in an array whose sum is closest to a given number, Easy interview question got harder: given numbers 1..100, find the missing number(s) given exactly k are missing, Generating all permutations of a given string, How to find minimal-length subsequence that contains all element of a sequence, Image Processing: Algorithm Improvement for 'Coca-Cola Can' Recognition. DE Shaw This first one loops through the list of terms and adds each term to all of the previously seen terms until it hits the desired sum. Thanks for contributing an answer to Stack Overflow! Asking for help, clarification, or responding to other answers. Simple solution. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. If we select element at index i such that i + k + 1 >= N, then we cannot select any other element as part of the subsequence. Top 50 Array Coding Problems for Interviews.

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