Triplet Sum Problem. The solution set must not contain duplicate triplets and the order of

The solution set must not contain duplicate triplets and the order of the output and the order of the triplets does not matter. If no such triplet exists, return -1. Solving it usually requires employing techniques like sorting the array and using two-pointer approaches to efficiently identify valid triplets. In this video, we solve the classic 3 element Sum / Triplet Sum problem using Java. In this video, we'll are going to solve the question - Find the first missing positive number from the array. For example, if triplets with zero sum in the array are (X[i], X[j], X[k]), then X[i] + X[j] + X[k] = 0. Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j Dec 15, 2009 · I have been struggling with this questions for sometime now. e. Problem DescriptionGiven an array A containing N integers. The “3Sum” problem presents a common computational challenge: finding all unique triplets in an array of integers such that their sum equals zero. Given an integer array `nums`, return all the triplets `[nums[i], nums[j], nums[k]]` where `nums[i] + nums[j] + nums[k] == 0`, and the indices `i`, `j` and `k` are Nov 5, 2021 · Another approach: In this, we first need to sort the whole array and after that when we add the last three-element of the array then we find the maximum sum of triplets. Nov 5, 2021 · Another approach: In this, we first need to sort the whole array and after that when we add the last three-element of the array then we find the maximum sum of triplets. Sum of special triplets having elements from 3 different arrays. To solve the problem of finding all unique triplets in an integer array nums such that the sum of the elements in each triplet is equal to zero (i. 8K subscribers Subscribe Given an array arr[] of integers, determine whether it contains a triplet whose sum equals zero. This step-by-step guide explains time complexity, duplicate handling, and optimization techniques for finding unique triplets that sum to zero in an array. Follow our step-by-step guide with examples. Dec 23, 2022 · In this problem, you must find all unique triplets in an array that sum up to a specific target value. This approach not only reduces time complexity but also demonstrates the power of using pointers and sorting in problem-solving. I am not really sure what my code is doing wrong, but it currently returns an empty list for this list [-1, 0, 1, 2, -1, -4], so it is not recognizing any triplets that sum to 0. Examples Example 1 Input: [-3, 0, 1, 2, -1, 1, -2] Output: [[-3, 1, 2], [-2, Feb 14, 2025 · The idea is to generate all possible triplets in the array using three nested loops, then store each unique valid triplet in a result vector. Exponent Get updates in your inbox with the latest tips, job listings, and more. So, we essentially need to find three numbers x, y, and z such that they add up to the given value. . Oct 6, 2024 · In this article, we’ll discuss a well-known LeetCode problem, 3Sum (Problem 15). The problem is a standard variation of the 3SUM problem, where instead of looking for numbers whose sum is 0, we look for numbers whose sum is any constant `C`. Learn how to find all unique triplets in an array that sum up to a given Given an array arr of size n and an integer X. Explanation: The only possible triplet sums up to 0. Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j Jan 2, 2025 · 📝 Problem Overview: You’re given an integer array nums and need to find all unique triplets [nums[i], nums[j], nums[k]] such that: where 𝑖 ≠ 𝑗 ≠ 𝑘 Important Notes: The output must not contain duplicate triplets. Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j Mar 11, 2024 · 3 Sum : Find triplets that add up to a zero. Nov 10, 2020 · Hello fellow LeetCode enthusiasts 👋! Today we are going to discuss one of the popular problems on LeetCode. Can you solve this real interview question? 3Sum Smaller - Level up your coding skills and quickly land a job. Given an array arr[] and an integer target, determine if there exists a triplet in the array whose sum equals the given target. Explanation: The triplet {1, 3, 6} in the array sums up to 10. Let's delve into the solution steps and analyze its time and Jul 23, 2025 · Given an array and a value, find if there is a triplet in array whose sum is equal to the given value. Finding triplet sum is a common interview problem that asks us to determine three numbers in an array that sums to the target value. Aug 1, 2025 · Given an array arr [] of n integers and an integer target, find the sum of triplets such that the sum is closest to target. Next, we enumerate the first element of the triplet n u m s [i], where 0 ≤ i <n 2. For each combination of three elements, we first check if their sum equals zero, and then we sort the triplet and use a set to ensure we only include unique combinations. , for any triplet [q1, q2, q3], the condition q1 ≤ q2 ≤ q3 should hold. The simple approach to the above mentioned problem is to generate all the possible triplets and compare each triplet's sum to the given value. Jan 15, 2024 · The “3Sum” problem is a classic algorithmic challenge where the goal is to find all unique triplets in an array that sum up to a target… Nov 20, 2020 · The most trivial approach would be to find all triplets of the array and count all such triplets whose ‘SUM’ = 'K'. Else, return false. Dec 9, 2024 · Learn how to solve LeetCode's 3Sum problem efficiently using the Two-Pointer and Dictionary-Based approaches. Leetcode 15. You may assume that each input would have exactly one solution. 3 Sum - In 3_Sum problem, given an array nums of n integers, find all the unique triplets that sum up to 0. In brute force approach we find every possible triplet from the given array, check if its sum is equal to zero and return the result (ensuring there are no duplicate triplets in the result).  Returned triplet should also be internally sorted i. If there is such a triplet present in array, then print the triplet and return true. Dec 12, 2022 · Join Avneet Kaur as she solves the school practice problem: Find triplets with zero sum. 3Sum. Create a set to keep the track of triplets we have visited. Given an input array nums, the goal is to identify all sets of three elements (a, b, c) where a + b + c = 0, with each triplet returned in non-descending order and without duplication. Otherwise, return false. The better approach is to use 3 pointer method. The below algorithm implements this naive approach of triplet sum in array using three nested loops. This is a great way to improve your coding skills and analyze yourse Jul 30, 2024 · The “3Sum” problem is a classic coding challenge that involves finding all unique triplets in an array that add up to zero. The goal is to find all triplets in an array that sum up to a given target value. Find all triplets with zero sum is also called 3Sum LeetCode challenge and in this video tutorial we learn how t Apr 21, 2024 · The challenge of finding all unique triplets within an array that sum up to zero is not just a common question in coding interviews but… Given an array X[] of n distinct elements, write a program to find all the unique triplets in the array whose sum is equal to zero. or Learn how to solve the Three Number Sum problem by finding all triplets in an array that sum up to a target value. Examples: In this post, we are going to solve the 15. 3Sum problem of Leetcode. STEP 5: A 2D vector called ‘result’ is created to store the triplets that sum up to zero. Problem link: https://practice. We need to find out if there exists a triplet a,b,c such that a+b+c = 0. Jan 8, 2025 · Given an array arr [], and an integer target, find all possible unique triplets in the array whose sum is equal to the given target value. Nov 24, 2023 · The ThreeSum problem is a classic algorithmic challenge that involves finding all unique triplets in an array which sum up to zero. Example 1: Input: nums = [8,6,1,5,3] Output: 9 Explanation Given an array arr[], find all possible triplets i, j, k in the arr[] whose sum of elements is equals to zero. Mar 3, 2024 · 4 The problem is: Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] where i, j and k are distinct and nums[i] + nums[j] + nums[k] == 0. Mar 17, 2025 · Understanding the Problem Problem Statement Definition The goal is to identify a triplet of array elements whose sum is the specified target value given an array of integers and a target sum. Instead of checking all possible triplets using three loops, it reduces the search space by adjusting two pointers (left and right) while iterating through the array. If such a triplet is present, we need to print it and return true. Given an array Arr[] of N distinct integers and a range from L to R, the task is to count the number of triplets having a sum in the range [L, R]. Triplet Sum in an Array | GeeksforGeeks Practice GeeksforGeeks Practice 81.  i<j<k. Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j Jul 23, 2025 · Given an array and a value, find if there is a triplet in array whose sum is equal to the given value. Jan 25, 2024 · Java LeetCode Problem-15 3Sum [Medium] (Java) Welcome to the 15th coding challenge of leetcode problem series. 3Sum is a Leetcode medium level problem. The question goes like this:- We have n^2 numbers. Find if there's a triplet in the array which sums up to the given integer X. Ideal for coding interviews and skill development. The idea is to traverse every element arr [i] in a loop. You want to build an expression out of nums by adding one of the symbols '+' and '-' before each integer in nums and then concatenate all the integers. Return the sum of the three integers. We can return triplets in any order, but all the returned triplets should be internally sorted, i. Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j Aug 16, 2024 · Conclusion Finding a triplet that sums to a given value is a classic problem in array manipulation and can be solved efficiently using the sorting and two-pointer technique. Notice… Mar 18, 2024 · Learn about two solutions to the integer 3Sum problem. This is the best place to expand your knowledge and get prepared for your next interview. Now in case the given array is already sorted, we can further optimize the space using two pointers technique. Jul 3, 2023 · We will learn the Triplet Sum Problem with an example and understand how to solve it using Hashing and Two-Pointers Approach. Sep 14, 2025 · Given an unsorted integer array, find a triplet with a given sum in it. Your Task: You don't need to read input or print anything. It’s about identifying three numbers from a list whose combined total equals the target sum. Oct 20, 2024 · [Expected Approach] Using Hashing – O (n^3) time and O (n^2) space [Naive Approach] Explore all Triplets - O (n^3) Time and O (1) Space The naive approach is to explore all the triplets using three nested loops and if the sum of any triplet is equal to given target then add it to the result. Follow our clear and concise explanation to understand the approach and code for this problem. With this channel I aim to focus on the way to solve a problem efficiently rather than In computational complexity theory, the 3SUM problem asks if a given set of real numbers contains three elements that sum to zero. Mar 10, 2024 · Problem Formulation: Finding all distinct triplets in a list that add up to a specific sum is a common algorithmic challenge. Can you solve this real interview question? 3Sum Closest - Given an integer array nums of length n and an integer target, find three integers at distinct indices in nums such that the sum is closest to target. POTD - 04/11/2024 | Find All Triplets with Zero Sum | Problem of the Day | GeeksforGeeks Practice GeeksforGeeks Practice • 328 views 2 months ago I am working on the 3SUM problem (taken from leetcode), which takes a list as input and finds all unique triplets in the lists such that a+b+c=0. 3Sum Problem Explained in 3 Minutes | Coding Interview Must-Know Master the 3Sum coding interview problem in just a few minutes 🚀 In this video, I explain how to find all unique triplets in an array whose sum equals zero, using: Sorting Two-Pointer Technique Duplicate handling This approach runs in O (n²) time and is frequently asked in Detailed solution for 3 Sum : Find triplets that add up to a zero - Problem Statement: Given an array of N integers, your task is to find unique triplets that add up to give a sum of zero. geeksforgeeks. A simple method is to generate all possible triplets and compare the sum of every triplet with the given target. Given an array of integers, the goal is to identify three distinct elements that, when summed together, equal a specific target value. This requires all of its prime factors to be primes of the form 4n + 1. But once you start worrying about duplicate triplets, brute-force inefficiency, and clever optimization Given an array arr[] of distinct integers of size n and a value sum, the task is to find the count of triplets (i, j, k), having (i<j<k) with the sum of (arr[i] + arr[j] + arr[k]) smaller than the given value sum. If the sum is equal to target, return true. length <= 3000 -10 5 <= nums[i] <= 10 5 Solutions Solution 1: Sort + Two Pointers We notice that the problem does not require us to return the triplet in order, so we might as well sort the array first, which makes it easy to skip duplicate elements. Return true if such a triplet exists, otherwise, return false. May 4, 2023 · There is no triplet sum in array that exists in the array which has a sum equal to given target 5. Starting with a brute force approach helps you understand the logic clearly, while learning the optimized two pointer method ensures you can solve such problems efficiently in coding interviews. The algorithm carefully skips duplicate values during iteration to ensure the result contains only unique triplets. Feb 20, 2025 · This approach first sorts the array and then uses the two-pointer technique to find a triplet where the sum of two numbers equals the third number. * For example, if nums = [2, 1], you can add a '+' before 2 and a '-' before 1 and concatenate them to build the expression "+2 If you know how to approach a problem, writing a code for it in any language could be a very typical task. Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j The most trivial approach would be to find all triplets of the array and count all such triplets whose ‘SUM’ = 'K'. Aug 13, 2025 · Explanation: No triplet in the array sums to 24. This problem 15. Jan 24, 2022 · The most simple and straight forward solution to this problem is to use the brute force approach. Increasing Triplet Subsequence - Given an integer array nums, return true if there exists a triple of indices (i, j, k) such that i < j < k and nums [i] < nums [j] < nums [k]. In this blog… Jul 23, 2025 · We have discussed two approaches, that works for both sorted and unsorted arrays, in the post 3 Sum - Count all triplets with given sum. Problem of Triplet that sum to a given value in Java is a classic array based challenge that helps strengthen problem solving and algorithmic thinking. 3Sum Leetcode Solution - Given an array of n integers, are there elements a, b, c in array such that a + b + c = 0? Find all unique triplet. This blog post addresses the Three Number Sum (3Sum) problem, a more complex variant of the Two Number Sum problem. Dec 6, 2020 · Find triplets with zero sum (3Sum Problem). Dec 15, 2015 · 3 <= nums. Let's see code, 15. A sequence of possible hypotenuse numbers for a primitive Pythagorean triple can be found at (sequence A008846 in the OEIS). Examples: 3SUM Problem a classic problem in computer science and is often used in coding interviews to test problem-solving skills and understanding of algorithms. If we fix one of the numbers say x, we are left with the two-sum problem at hand! This reduces the problem from finding three numbers that sum to zero to finding two numbers that sum to a target value. Jul 23, 2025 · The naive approach is to explore all the triplets using three nested loops and if the sum of any triplet is equal to given target then increment the counter by 1. [16] Therefore, c is of the form 4n + 1. 3 Sum Problem Statement Given an array of n integers, are there elements , , in such that ? Find all unique triplets in the array which gives the sum of zero. We can find the answer using three nested loops for three different indexes and check if the values at those indexes sum up to 'K'. A triplet of indices (i, j, k) is a mountain if: * i < j < k * nums[i] < nums[j] and nums[k] < nums[j] Return the minimum possible sum of a mountain triplet of nums. Comprehensive study plan with weekly LeetCode problems covering Two Pointers, Sliding Window, Binary Search, and more. In each leetcode problem, expect a … Nov 14, 2024 · Learn how to solve the 3 Sum problem by finding all distinct triplets that add up to a given sum. Aug 1, 2023 · Sorting the array helps in finding triplets efficiently using the two-pointer technique. A triplet that sums to a given value C is a set of three elements in an array whose sum is equal to C. , nums [i] + nums [j] + nums [k] == 0), you can use a modified version of the “3Sum” algorithm. We iterate through all pairs (j, k), compute the required third element as -(arr[j] + arr[k]), and check if it exists in the map with a valid index i < j. A generalized version, -SUM, asks the same question on elements, rather than simply 3. Hint: This is an excellent problem to learn problem-solving and optimization using hashing and two pointers approach. For a more Jun 27, 2017 · Find a triplet that sum to a given value | GeeksforGeeks GeeksforGeeks 1. Jul 8, 2025 · The goal sounds simple enough: find all unique triplets in an array that sum up to zero. In short, you need to return an array of all the unique triplets [arr [a Jul 23, 2025 · The idea is to use a hash map to store indices of each element and efficiently find triplets that sum to zero. 3SUM can be easily solved in time, and matching lower bounds are known in some specialized models of computation (Erickson 1999). Apr 9, 2024 · Welcome to our algorithm tutorial where we tackle the problem of finding a triplet in an array that sums up to a given value! Whether you're diving into algorithms for the first time or seeking to enhance your problem-solving skills, this tutorial is for you. Your task is to complete the function find3Numbers Can you solve this real interview question? Target Sum - You are given an integer array nums and an integer target. I’ll walk you through the problem statement, my approach to solving it, and an optimized Java solution. 16M subscribers Subscribe Sep 26, 2024 · The problem of finding a triplet that sums to a given value is a common algorithmic challenge. 3Sum Given an integer array `nums`, return all the triplets ` [nums [i], nums [j], nums [k]]` where `nums [i] + nums [j] + nums [k] == 0`, and the Given an array, we need to find if there is a triplet in the array whose sum is equal to a given value. You need to find the maximum sum of triplet ( Ai + Aj + Ak ) such that i LESS THAN j LESS THAN k a Note: The triplets must be returned in sorted order, the solution vector should also be sorted, and the answer must not contain any duplicate triplets. The order of triplets and elements within triplets doesn’t matter. Note: If there are multiple sums closest to target, print the maximum one. My aim to provide more than just solutions. Given an array of integers, write a code to find all unique triplets with zero sum. The 3 Sum problem finds all unique triplets in an array that sum up to a target value, ensuring no duplicate triplets are returned Can you solve this real interview question? 3Sum - Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j Given an array of unsorted numbers, find all unique triplets in it that add up to zero. Can you solve this real interview question? Minimum Sum of Mountain Triplets I - You are given a 0-indexed array nums of integers. The hypotenuse c (which is always odd) is the sum of two squares. For example, if we have an array [1, 2, 3, 4, 5] and the target sum C is 9, then the triplet that sums to C is (2, 3, 4) because 2 + 3 + 4 = 9. Naive Approach Using three nested loops is the simplest way to solve this issue. This is my code: Now for each element, you check if there exists a pair whose sum is equal to targetSum - current value When you find out value, you add in final list, else you increase start or decrease end Jan 30, 2025 · The Three Sum Problem is a classic algorithmic challenge where we are given an array of integers and tasked with finding all unique triplets in the array that sum to zero. This problem is a variation of the more general "3Sum" problem, where the target sum is zero.

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