This guide provides a clear explanation and code examples for implementation. If there is no such combination then print -1. Mar 6, 2024 · Output: 4 This code snippet defines a function count_good_triplets that takes an array and three integers a, b, and c as arguments. A triplet consists of three elements from the array: (arr[i], arr[j], arr[k]). We have already discussed, how to check if there is a triplet such that sum of two is equal to the third. Oct 17, 2016 · Find number of possible triplets (including duplicates) of elements of Array in linear time? Asked 9 years, 1 month ago Modified 9 years, 1 month ago Viewed 355 times Feb 5, 2024 · The task is to find the number of triples (i, j, k) , where i, j, k are indices and (1 <= i < j < k <= N), such that in the set { A i Ai , A j Aj , A k Ak } at least one of the numbers can be written as the sum of the other two. The task is to find the number of triplet (x, y, z), where 0 <= x, y, z < n and x, y, z are the index in the array A [] such that: Nov 10, 2012 · Possible Duplicate: fastest algorithm count number of 3 length AP in array I've been working on the following problem taken from CodeChef's Nov12 challenge. Return true if it is possible to obtain the target triplet [x, y, z] as an element of triplets, or false otherwise. If found to be true, increase the count of triplets. Function Description Complete the countTriplets function in the editor below. length * nums [i], nums [j], and nums [k] are pairwise distinct. a 0, a 1,, a n What is number of triplets (a[i], a[j], a[k]) (a [i], a [j], a [k]) where 0 ≤ i, j, k ≤ n 0 ≤ i, j, k ≤ n and a[i]&a[j]&a[k] = 0 a [i] & a [j] & a [k] = 0? & is bitwise and 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 15, 2025 · Naive Approach: The simplest approach to solve the problem is to generate all possible triplets and for each triplet, check if it satisfies the required condition. In other words, if we consider pos1v as the index of the value v in nums1 and Please note that there are no leading spaces before the first number, and there are no trailing spaces after the last number. Find Triplet in Array With a Given Sum - Here we will print the first combination that we get. For example, the sum 10 can be generated form numbers 1,6,3 as well as 1,5,4. Since there can be multiple valid pairs, we add each one to the hash set (to manage duplicates) while ensuring that all indices in the triplet are distinct. To obtain target, you may apply the following operation on triplets any number of times (possibly zero): Choose two indices (0-indexed) i and j (i != j) and update triplets [j] to become [max (ai, aj), max (bi, bj), max (ci, cj)]. If yes then increment for that triplet and print the final count after checking all the triplets. Return true&nbsp;if such a triplet exists, otherwise, return false. Sort the array in ascending order. Any ideas? What algorithm can I use for this? Jul 23, 2025 · The idea is to use three loops to check for all the possible triplets in arr [] and find the count of number of triplets such that i < j < k and a [ j ] < a [ k ] < a [ i ]. Examples: Input: A = {1, 2, 3, 4, 5} Output: 4 Explanation: The valid triplets are – 1. Find the number of triplets (i, j, k) that meet the following conditions: nums[i], nums[j], and nums[k] are pairwise distinct. countTriplets has the following parameter (s): Jul 23, 2025 · To ensure unique triplets, the map maintains only indices less than the current j. Mar 10, 2024 · Output: [(2, 3, 4)] This code snippet defines a function findTriplets(arr, sum) that takes a list and a sum as arguments, iterates over the list in a three-level nested loop, and appends to a result list any triplet with the given sum. We can return triplets in any order, but all the returned triplets should be internally sorted, i. Number of Unequal Triplets in Array coding interview question from Google. A triplet (arr[i], arr[j], arr[k May 11, 2024 · Approach: For a number d to divide the sum of a triplet, the sum of their remainders (mod d) must also be divisible by d. Return the maximum value over all triplets of indices (i, j, k) such that 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 . The sum function counts how many triplets satisfy the conditions. Otherwise, print -1. Your task is to count the total number of such special triplets in the given array. It is a non-primitive data type which stores values of similar data type. Jan 2, 2023 · Welcome to Subscribe On Youtube 2475 - Number of Unequal Triplets in Array Posted on January 2, 2023 · 2 minute read In other words, if we consider pos1v as the index of the value v in nums1 and pos2v as the index of the value v in nums2, then a good triplet will be a set (x, y, z) where 0 <= x, y, z <= n - 1, such that pos1x < pos1y < pos1z and pos2x < pos2y < pos2z. Pythagorean triplet is a set Aug 13, 2025 · Iterate through the array, fixing the first element (arr[i]) for the triplet. I know O(n^2) solution. Constraints: Every element of the array is present at most twice. Nov 17, 2023 · Given an array a and a number d, I want to count the number of distinct triplets (i, j, k) such that i <j <k and the sum aᵢ + aⱼ + aₖ is divisible by d. In-depth solution and explanation for LeetCode 2475. The final answer will be the sum of the product of greater_left [i] and smaller_right [i] for every index. Although simple, the inefficiency makes it impractical for large lists. Count Good Triplets in an Array in Python, Java, C++ and more. Suffix array can be calculated in O (n) time. You are given a 0-indexed array of positive integers nums. Mar 17, 2025 · 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. The main idea of this problem is to find the number of triplets with values different from each other pairwise. Mar 27, 2024 · In this article, we will discuss various approaches to finding out the presence of the Pythagorean Triplet in an array. This guide provides clear examples and explanations. If found to be true, then print that triplet. A special triplet is defined as a triplet of indices (i, j, k) such that: * 0 <= i < j < k < n, where n = nums. May 17, 2021 · Learn how to find the number of good triplets in Python with this comprehensive guide and example. Since the answer can be very large, you should return the result modulo 10^9 + 7. Can you solve this real interview question? Count Good Triplets - Given an array of integers arr, and three integers a, b and c. e. Jul 18, 2013 · The question is to find all triplets in an integer array whose sum is less than or equal to given sum S. In other words, if we consider pos1v as the index of the value v in nums1 and Mar 14, 2019 · Can someone give me a formula to calculate all possible triplets with index (i,j,k) in an array such that i &lt; j and j &lt; k? So far I've tried to find out what is the pattern on small arrays, In-depth solution and explanation for LeetCode 2179. Note: I have seen other such problems on SO with performance O (n 2 log n) but all of them were solving the easier version of this problem like where arr[i] + arr[j] + arr[k] = S or where they were only checking whether one such triplet exists. Is there a way to find triplet whose sum is given integer x. Divide and Conquer (Merge Sort) The first idea is that we pick a number as the middle number in the triplet, and count the common numbers in front of this number and after this number. In a given array, for each element num [i], we calculate the remainder (modulo d) of every possible pair with the elements between indices 0 and i−1, and store these in a hashmap. Jul 25, 2023 · Here, we will discuss Leetcode’s problem 2475. And in the list there can be many such triplets. Problem link: https://practice. In other words, nums[i] != nums[j], nums[i] != nums[k], and nums[j] != nums[k]. Find the greater_left array. This guide provides a step-by-step approach and code examples. We want to select three indices i, j and k where (0 <= i < j <= k < arr. Jul 23, 2025 · Given a sorted array arr [] and a target value, the task is to find the count of triplets present in the given array having sum equal to the given target. Here, we will see how to solve Number of Unequal Triplets in Array Solution of leet code 2475 problem. Find the number of triplets (i, j, k) that meet the following conditions: * 0 <= i < j < k < nums. Return the number of unique arithmetic triplets. Examples: Nov 19, 2014 · Find triplets in an array such that sum of two numbers is also a number in the given array Asked 11 years ago Modified 3 years, 2 months ago Viewed 3k times Apr 15, 2025 · LeetCode 2179: Count Good Triplets in an Array Problem Statement You are given two 0-indexed arrays nums1 and nums2 of length n, both of which are permutations of [0, 1, , n - 1]. A good triplet is a set of 3 distinct values which are present in increasing order by position both in nums1 and nums2. Example There are and at indices and . Example The coding region carries information for protein synthesis encoded by the genetic code to form triplets. It initializes a counter to zero and iterates over the array using three nested for loops to check every triplet combination. In other words, if we consider pos1v as the index of the value v in nums1 and Aug 27, 2024 · I'm working on a problem where I need to preprocess an array to determine the number of divisors for each element, resulting in an array $f$. Here is the detailed solution of the LEETCODE COUNT GOOD TRIPLETS IN AN ARRAY Problem of the Leetcode BiWeekly Contest 72 and if you have any doubts, do comm Jul 15, 2025 · Output: -1 Naive Approach: The simplest approach to solve this problem is to traverse the array and generate all possible triplets of the given array and for each triplet, check if it satisfies the given conditions or not. Problem Description You are given an array of integers arr and three integer values a, b, and c. The main idea of the problem is Given an array arr[] and an integer target, determine if there exists a triplet in the array whose sum equals the given target. Jul 12, 2025 · The task is to count the number of triplets in the array such that a [i]>a [j]>a [k] and i<j<k. For each arr[i], use a Hash Set to store potential second elements and run another loop inside it for j from i+1 to n-1. n] where each element ranging from 1 to 2n. 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. Count Triplets That Can Form Two Arrays of Equal XOR - Given an array of integers arr. Feb 3, 2014 · Since there are possibly O (n^3) such triplets, the complexity cannot be O (n). Given an array and a value, find if there is a triplet in array whose sum is equal to the given value. Discover common mistakes and debugging tips. For example, if the given array is {12, 3, 4, 1, 6, 9} and the given sum is 24, then this is one Learn how to find all unique triplets in an array that sum up to a given value using C++. We will also look at their code in different languages and their complexity analysis. Basically, in this problem, you are given an array of integers and a target value, the triplet sum problem requires finding three elements from the array whose sum equals the given target. As per the problem statement we have to get all the triplets in the array whose sum is equal to a specific number. 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. Naive Approach Using three nested loops is the simplest way to solve this issue. greater_left [i] represents the number of elements greater than a [i] and in left side of it ( from 0 to i-1 ). You need to find the number of good triplets. 7K subscribers Subscribe Mar 27, 2024 · This article will brief you on finding the maximum triplet sum in Array. , for any triplet [q1, q2, q3], the condition q1 ≤ q2 ≤ q3 should hold. geeksforgeeks. For example, Mar 27, 2024 · Algorithm A function “countTriplets” is initialized that takes an array “arr” and “n” which is the length of the array and counts the number of triplets such that one number is the sum of the other two. Multiply both the values and add it to the final answer. Jul 3, 2023 · Triplet sum is a common problem in computer science that involves finding three elements in an array whose sum equals a given target value. In this article we will see how to find out all such triplets from a given list of numbers. This count of triplets will also include triplets having a sum less than the lower limit a. Apr 7, 2018 · If the range of elements is much smaller than their number, it is advantageous to compress the data by means of an histogram. For a triplet to be considered "good", it must satisfy all of the following conditions: May 17, 2015 · I'm solving a problem where I have to find number of triplets of Ai, Aj, and Ak such that Ak < Ai < Aj and i < j < k in an array . A triplet (i, j, k) is an arithmetic triplet if the following conditions are met: * i < j < k, * nums [j] - nums [i] == diff, and * nums [k] - nums [j] == diff. The goal is to find three elements in the $f$ array suc Oct 29, 2014 · So you can compute the number of combinations in O (1) easily enough (if you use an approximation for the factorial function), but if you want to enumerate them your time complexity approaches O (m!) (for sufficiently large values of m). Number of Unequal Triplets in Array - You are given a 0-indexed array of positive integers nums. I tried it using the basic formula Sep 26, 2025 · Can you solve this real interview question? Valid Triangle Number - Given an integer array nums, return the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle. We have to find the number of triplets (i,j,k) where i,j and k are indices and (1≤i<j<k≤N) such that in that set {Ai , Aj ,Ak} at Aug 20, 2011 · Given an array say Arr [N] containing Cartesian coordinates of N distinct points count the number of triples (Arr [P], Arr [Q], Arr [R]) such that P < Q < R < N and the points Arr [P], Arr [Q], Arr [R] are collinear (i. The triple detection algorithm simplifies a little because k is systematically (i+j)/2. For example, for the array [1, 4, 45, 6, 10, 8] and the target sum 22, the triplet (4, 10, 8) would sum to 22. Number of Unequal Triplets in Array. Example: when a is [3, 3, 4, 7, 8] and d is 5 it should give count as 3: Oct 21, 2020 · Learn how to count the number of valid triangle triplets in C++. (1, 2, 3) : 1 + 2 = In this article by Scaler Topics, you will learn how to count the triplets in a given array, such that one of the integers can be written as the summation of the other two integers using various methods and examples. Given an array arr, count the number of distinct triplets (a, b, c) such that: a + b = c Each triplet is counted only once, regardless of the order of a and b. In addition, the triplet is only valid if and only if it can be formed by deleting some integers from the array, only leaving behind that triplet in that specific ordering. Find the maximum number of triplets that can be made using array elements such that all elements in each triplet are different. Given an array and a value, find all the triplets in the array whose sum is equal to the given value. Examples: In this video, we'll are going to solve the question - Find the first missing positive number from the array. A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. If a triplet satisfies all three conditions, it increments the counter. Print the maximum number of possible triplets along with a list of the triplets. For example if the array is sorted from lowest to highest, you will have n choose 3 such triplets which is order of n^3. Number of Unequal Triplets in Array in Python, Java, C++ and more. Aug 29, 2020 · Function countTriplets (int a [],int b [],int c [], int n) takes all three arrays as input with their same length n and returns triplets that satisfy the given condition. Better than official and forum solutions. A good 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 Can you solve this real interview question? Count Good Triplets in an Array - You are given two 0-indexed arrays nums1 and nums2 of length n, both of which are permutations of [0, 1, , n - 1]. Note: Each element of the array can belong to only 1 triplet. Aug 25, 2020 · //Given an array nums of n integers, are there elements a, b, c in nums such that a + b + c = 0? Find all //unique triplets in the array which gives the sum of zero. Using range and temp variables This is the traditional Maximum Value of an Ordered Triplet I - You are given a 0-indexed integer array nums. Jul 23, 2025 · Given an array arr [] consisting of N integers, the task is to find the number of triplets whose indices and elements at that indices are in increasing order. You are given an array and you need to find number of tripets of indices such that the elements at those indices are in geometric progression for a given common ratio and . If the question refers to finding the number of triplets, here is the most efficient solution I saw: Jan 19, 2023 · In Java, Array is an object. The solution to this by brute force is trivial but has complexity O (N^3). Output format: A single integer that denotes the number of distinct ascending triplets present in the array. Each triplet of nucleotides of the coding region is called a codon and corresponds to a binding site complementary to an anticodon triplet in transfer RNA. Apr 14, 2025 · LeetCode 1534: Count Good Triplets Problem Statement Given an array of integers arr, and three integers a, b and c. Here triplets refer to any three Jul 15, 2025 · Given an array arr [] of size, N. 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. Triplet Sum in Array | Find a Triplet with the Given Sum in an Array | Programming Tutorials Programming Tutorials 22. Jul 12, 2025 · Explanation: In the given array there are no such triplets such that sum of two numbers is equal to the third number. Examples: Input: arr[] = [1, 5, 3, 2] Output: 2 Explanation: There are 2 triplet Feb 15, 2015 · Given a sorted array[1. The array contains all feasible triplets, and we can iterate through them all to see if their sums match the desired value. length * nums[i] == nums[j] * 2 * nums[k] == nums[j] * 2 Return the total number of special triplets in the array. Time Complexity: O (N3) Auxiliary Space: O (1) Apr 23, 2024 · Best and efficient approach is use the concept of maximum suffix-array and binary search. Intuitions, example walk through, and complexity analysis. After complete traversal of the array and generating all possible triplets, print the final count. The task is to count the number of triples (A[i], A[j], A[k]), where i, j, and kdenote the respective indices, such that one of the integers can be written as the summation of the other two integers. Method 2: Sorting and Two-Pointer Technique This approach first sorts the list then May 4, 2023 · In this article by Scaler Topics, you will learn how to find triplet sum in array by using different methods and code examples in Java, Python and C++. Aug 29, 2020 · Learn how to count the number of triplets in an array that have a sum within a specified range using C++. Number of Arithmetic Triplets - You are given a 0-indexed, strictly increasing integer array nums and a positive integer diff. Jan 25, 2025 · 7 As stated above, I need to efficiently count the number of distinct triplets of the form (a, b, b). Since the answer may be large, return it modulo 109 + 7. Use three nested loops to count the number of triplets start, mid and end such that start < mid Jul 11, 2018 · An efficient solution is to first find the count of triplets having a sum less than or equal to upper limit b in the range [a, b]. Is there any algorithm better than n^2 ones. 2 days ago · Can you solve this real interview question? Count Special Triplets - You are given an integer array nums. or Finding triplet sum is a common interview problem that asks us to determine three numbers in an array that sums to the target value. Mar 20, 2023 · Given a sorted array of distinct positive integers, print all triplets that forms Geometric Progression with integral common ratio. Can you solve this real interview question? Count Good Triplets in an Array - You are given two 0-indexed arrays nums1 and nums2 of length n, both of which are permutations of [0, 1, , n - 1]. Learn how to efficiently count triplets in an array with expert strategies and code examples. . Sep 26, 2024 · Given an array of integers and a target value (sum), find three numbers in the array such that their sum equals the target value. Given an array A consisting of N integers. Aug 26, 2020 · In a list of numbers we want to find out which three elements can join to give a certain sum. The solution uses the combinations function from Python's itertools to generate all possible triplets of three elements from the array, then checks each triplet to see if the differences between consecutive elements equal diff. Jan 9, 2010 · Can someone suggest an algorithm that finds all Pythagorean triplets among numbers in a given array? If it's possible, please, suggest an algorithm faster than O(n2). Return the total number of good triplets. Count the number of index triplets (i<j<k) in an array whose three values are pairwise distinct. Jul 15, 2025 · Naive Approach: The idea is to iterate 3 loops and check for each triplet (i, j, k) satisfy the given conditions or not. Oct 20, 2024 · Then, for each element in the array, we check if the pair which makes triplet's sum zero, exists in the hash map or not. For finding a maximum number greater than given number beyond it, we can maintain a maximum suffix-array such that for any number (suffixi) it would contain maximum number from index i, i+1, n-1. e lie on the same straight line). So, to calculate the number of ordered, unique sets of size LEN from an array of idx elements: Take the number of ordered, unique sets of size LEN that can be created from an array of idx -1 elements Add the number of ordered, unique sets that can be formed by adding element idx to the end of ordered, unique sets for size LEN-1 Don’t double Apr 6, 2023 · Given an array A [] of n elements and an integer k. More specifically, the task is to count triplets (i, j, k) of valid indices, such that arr [i] + arr [j] + arr [k] = target and i < j < k. ️ Day 51 Completed – 160 Days DSA Challenge Today’s problem: Count Triplets With Given Sum 🔢 Given a sorted array, we need to count how many triplets (i, j, k) satisfy: arr [i] + arr [j Jul 12, 2025 · Apply binary search on the available set of indices for the first and the third element to find the number of occurrence of the first element from 1 to i - 1 and the number of occurrences of the third element from i + 1 to N. We call it a triplet. Example 1: Find the solution of Count Good Triplets in an Array Leetcode question with step by step explanation in 2 approaches and 3 solutions in languages like Java, CPP, Python. Mar 12, 2022 · Count of Smaller Numbers After Self (Hard) Increasing Triplet Subsequence (Medium) Create Sorted Array through Instructions (Hard) Solution 1. Jan 27, 2019 · 1 We have array a0,a1,,an. Jul 10, 2021 · Problem : Here they have given an array A[ ] of N integers. Your task is to count how many "good triplets" exist in the array. In the worst case, this approach also takes O (n^3) time but in the average case, it is much faster than Naive approach as we are iterating over only those triplets whose sum is equal to target. Note: If there are multiple sums closest to target, print the maximum one. Return . length). If there is such a triplet present in array, then print the triplet and return true.

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