count number of pairs with absolute difference k

It was a light bulb moment.. Let's remove the sluggish hashmap and use an array of length 200. We can count the numbers, and then use the multiplication rule to accumulate the answer quickly. easy. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. A simple hashing technique to use values as an index can be used. Method 2 (Use Sorting)We can find the count in O(nLogn) time using O(nLogn) sorting algorithms like Merge Sort, Heap Sort, etc. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Therefore, overall time complexity is O(nLogn). Count distinct pairs with difference k Try It! Given an array arr[] and an integer K, the task is to find the count of pairs (arr[i], arr[j]) from the array such that |arr[i] arr[j]| K. Note that (arr[i], arr[j]) and arr[j], arr[i] will be counted only once.Examples: Input: arr[] = {1, 2, 3, 4}, K = 2Output: 3All valid pairs are (1, 3), (1, 4) and (2, 4)Input: arr[] = {7, 4, 12, 56, 123}, K = 50Output: 5. Longest Palindromic Substring 6. Well, I started this journey to discipline my self and I feel, now I am literally enjoying it. Count Number of Pairs With Absolute Difference K Easy Given an integer array nums and an integer k, return the number of pairs (i, j) where i < j such that |nums [i] - nums [j]| == k. The value of |x| is defined as: x if x >= 0. The task is to count the total number of pairs in the array whose absolute difference is divisible by K. Examples: Input: arr [] = {1, 2, 3, 4}, K = 2 Output: 2 Explanation: Total 2 pairs exists in the array with absolute difference divisible by 2. Given an array arr[] and a positive integer K. The task is to count the total number of pairs in the array whose absolute difference is divisible by K. Input: arr[] = {1, 2, 3, 4}, K = 2Output: 2Explanation:Total 2 pairs exists in the array with absolute difference divisible by 2. Practice Problems, POTD Streak, Weekly Contests & More! 3. for A [i] find largest index A [j]<=A [i]+k using binary search. Naive approach: The easiest way is to iterate through every possible pair in the array and if the absolute difference of the numbers is a multiple of K, then increase the count by 1. 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Although we have two 1s in the input, we . Pankaj Tanwar - CS Engineer, writer & creator. Discuss (910) Submissions. Method 4 (Use Hashing):We can also use hashing to achieve the average time complexity as O(n) for many cases. The pairs are: (1, 3), (2, 4). dictonary. By using our site, you 2006. Description Solution Submissions 2006. The following algorithm takes O(N) time and O(N) space - based on a hash table. Example 1: Now for every element arr[i], find the first element on the right arr[j] such that (arr[j] arr[i]) K. This is because after this element, every element will satisfy the same condition with arr[i] as the array is sorted and the count of elements that will make a valid pair with arr[i] will be (N j) where N is the size of the given array.Below is the implementation of the above approach: Writing code in comment? I again read the problem statement. Add Two Numbers 3. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Preparation Package for Working Professional, Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm), Introduction to Stack - Data Structure and Algorithm Tutorials, Top 50 Array Coding Problems for Interviews, Maximum and minimum of an array using minimum number of comparisons, Check if a pair exists with given sum in given array, K'th Smallest/Largest Element in Unsorted Array | Set 1, Python | Using 2D arrays/lists the right way, Array of Strings in C++ - 5 Different Ways to Create, Inversion count in Array using Merge Sort, Introduction and Array Implementation of Queue, Search an element in a sorted and rotated Array, Program to find largest element in an array, Sort an array of 0s, 1s and 2s | Dutch National Flag problem, Given Array of size n and a number k, find all elements that appear more than n/k times, k largest(or smallest) elements in an array, Find Subarray with given sum | Set 1 (Non-negative Numbers), Minimum number of swaps required to sort an array of first N number, Convert each elements (A[i]) of the array to ((A[i]+K)%K), Use hashing technique to store the number of times (A[i]%K) occurs in the array, Now, if an element A[i] occurs x times in the array then add x*(x-1)/2 (choosing any. def printPairDiffK(l, k): pairCount=0 m = {} for num in l: if num+k in m: pairCount += m[num+k] if k!=0 and num-k in m: Following program implements the simple solution. Input: arr[] = {3, 3, 3}, K = 3Output: 3Explanation:Total 3 pairs exists in this array with absolute difference divisible by 3. Example 1: Input: nums = [1,2,2,1], k = 1 Output: 4 Naive Approach: The idea is to check for each pair of the array one by one and count the total number pairs whose absolute difference is divisible by K. Time Complexity: O(N2)Space Complexity:O(1), Time Complexity: O(n+k)Auxiliary Space: O(k). Input: N = 3, K = 3, arr[] = {3, 3, 3}Output: 3Explanation:Total 3 pairs exists in this array with absolute difference divisible by 3. Input: nums = [1,2,2,1], k = 1 Output: 4 Explanation: The pairs with an absolute difference of 1 are: - [ 1, 2 ,2,1] - [ 1 ,2, 2 ,1] - [1, 2 ,2, 1 ] - [1,2, 2, 1 ] Example 2: Input: nums = [1,3], k = 3 Output: 0 Explanation: There are no pairs with an absolute difference of 3. Following are the detailed steps. The pairs are: (3, 3), (3, 3), (3, 3). You might like previous editions of my coding diary, Count Number of Pairs With Absolute Difference K. Day #14 - Minimum Number of Operations to Move All Balls to Each Box. Time Complexity: O(NlogN)Auxiliary Space: O(N). (I found 3 approaches for the problem), Easy problems might have interesting hidden challenges, For each element, reduce the count for the current value first, and check the count of, return the final value, that's the answer. Print the value of the count after all pairs are processed.Time Complexity: O(N2)Auxiliary Space: O(1). Please use ide.geeksforgeeks.org, A very simple case where hashing works in O(n) time is the case where a range of values is very small. Count Number of Pairs With Absolute Difference K via Hash Table. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. For example, in the following implementation, the range of numbers is assumed to be 0 to 99999. The second step runs binary search n times, so the time complexity of second step is also O(nLogn). Longest Substring Without Repeating Characters 4. 3) Do following for each element arr [i]. Python Simple Solution in O (n) Time Complexity using Dictionary. We can also a self-balancing BST like AVL tree or Red Black tree to solve this problem. Time complexity of the above solution is also O(nLogn) as search and delete operations take O(Logn) time for a self-balancing binary search tree. We run two loops: the outer loop picks the first element of pair, the inner loop looks for the other element. Please do LIKE, SHARE, and SUBSCRIBEDiscord Link : https://discord.gg/ntMkngpNTt ABOUT EDIGNITEEdignite NGO strives to accomplish Kalam sir's mission of an I. Time Complexity: O (N2) Auxiliary Space: O (1) b) If arr[i] + k is not found, return the index of the first occurrence of the value greater than arr[i] + k. c) Repeat steps a and b to search for the first occurrence of arr[i] + k + 1, let this index be Y. Thanks for sticking along, it's day 15 of my coding diary. Please use ide.geeksforgeeks.org, Let's jump to the problem statement for today. Never settle down by just seeing green tick with brute force approach. Day #13 - Number Of Rectangles That Can Form The Largest Square. Approach: Sort the given array. Given an integer array and a positive integer k, count all distinct pairs with differences equal to k. Method 1 (Simple):A simple solution is to consider all pairs one by one and check difference between every pair. The second step can be optimized to O(n), see this. By using our site, you 2) Insert all distinct elements of arr [] in a hash map. By using our site, you I knew it. Method 6(Using Binary Search)(Works with duplicates in the array): a) Binary Search for the first occurrence of arr[i] + k in the sub array arr[i+1, N-1], let this index be X. This solution doesnt work if there are duplicates in array as the requirement is to count only distinct pairs. We run two loops: the outer loop picks the first element of pair, the inner loop looks for the other element. Given an array, arr[] of N elements and an integer K, the task is to find the number of pairs (i, j) such that the absolute value of (arr[i] arr[j]) is a multiple of K. Input: N = 4, K = 2, arr[] = {1, 2, 3, 4}Output: 2Explanation: Total 2 pairs exists in the array with absolute difference divisible by 2. Count Number of Pairs With Absolute Difference K - LeetCode Solutions LeetCode Solutions Home Preface Style Guide Problems Problems 1. In this approach, we have discussed the approach to solve it using the map. Print the value of the count after all pairs are processed. A quick thought came to my mind, why not store count for each value and check count of val + k and val - k. I hit submit in the excitement of O(n) approach, BUT leetcode said, Ummm, it's a good try but still slower than 60% submission, think harder. Writing code in comment? Efficient Approach: The efficient idea is to use Binary Search to find the first occurrence having a difference of at least K. Below are the steps: Sort the given array in increasing order. Hit submit, and boom! Submission count: 3.9K Method 1 (Simple): Run two nested loops. Example 1: Practice Problems, POTD Streak, Weekly Contests & More! By using our site, you New. As expected, the worst approach. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Preparation Package for Working Professional, Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Count pairs in an array such that the absolute difference between them is K, Minimum Bitwise OR operations to make any two array elements equal, Minimum Bitwise AND operations to make any two array elements equal, Check if the number is even or odd whose digits and base (radix) is given, Find bitwise AND (&) of all possible sub-arrays, Sum of Bitwise-OR of all subarrays of a given Array | Set 2, Count distinct Bitwise OR of all Subarrays, Find bitwise OR of all possible sub-arrays, Sum of bitwise OR of all possible subsets of given set, Sum of bitwise AND of all possible subsets of given set, Check if given strings are rotations of each other or not, Check if strings are rotations of each other or not | Set 2, Check if a string can be obtained by rotating another string 2 places, Converting Roman Numerals to Decimal lying between 1 to 3999, Converting Decimal Number lying between 1 to 3999 to Roman Numerals, Count d digit positive integers with 0 as a digit, Count number of bits to be flipped to convert A to B, Count total set bits in first N Natural Numbers (all numbers from 1 to N), Count total set bits in all numbers from 1 to n | Set 2, Count total set bits in all numbers from 1 to N | Set 3, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). Two Sum 2. Method 1 (Simple): A simple solution is to consider all pairs one by one and check difference between every pair. The pairs are: (1, 3), (2, 4). Given an array of integers nums and an integer k, return the number of unique k-diff pairs in the array. I am gradually recognizing the patterns. While inserting, ignore an element if already present in the hash map. generate link and share the link here. I again read the problem statement, no luck! Given an integer array nums and an integer k, return the number of pairs (i, j) where i < j such. The inner loop considers all elements after x and checks if the difference is within limits or not. Implementation: C++ Java Python3 C# PHP Javascript #include <bits/stdc++.h> using namespace std; int countPairs (int a [], int n, int k) A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. String to Integer (atoi) 9. 4. count = count+j-i 5. do 3 to 4 all i's Time complexity :- Sorting : O (n) Binary Search : O (logn) Overall : O (nlogn) Share Follow Practice Problems, POTD Streak, Weekly Contests & More! b) Look for arr [i] - k in the hash map, if found then increment count. The outer loop picks every element x one by one. Example 1: Input: nums = [1,2,2,1], k = 1 Output: 4 Explanation: The pairs with an absolute difference of 1 are: - [1,2,2,1] - [1,2,2,1] - [1,2,2,1] - [1,2,2,1] Example 2: Input: nums =. -x if x < 0. Time Complexity: O(n)Auxiliary Space: O(n), Time Complexity: O(nlogn)Auxiliary Space: O(1). Writing code in comment? -x if x < 0. Day #11 - Count the Number of Consistent Strings. generate link and share the link here. Please use ide.geeksforgeeks.org, Problem of the day - Count Number of Pairs With Absolute Difference K Tag - Easy Given an integer array nums and an integer k, return the number of pairs (i, j) where i < j such that |nums [i] - nums [j]| == k. The value of |x| is defined as: x if x >= 0. 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Time Complexity: O(n2)Auxiliary Space: O(1), since no extra space has been taken. 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Input: arr [] = {3, 3, 3}, K = 3 Output: 3 Explanation: Writing code in comment? WTH, I thought I cracked it. Problem of the day - Count Number of Pairs With Absolute Difference K. Given an integer array nums and an integer k, return the number of pairs (i, j) where i < j such that |nums[i] - nums[j]| == k. Just after reading the problem statement carefully, like any other dev, a brute force, O(n2), the slowest approach came to my mind and I just started typing without wasting a second. Count Number of Pairs With Absolute Difference K (Easy) Given an integer array nums and an integer k, return the number of pairs (i, j) where i < j such that |nums [i] - nums [j]| == k. The value of |x| is defined as: x if x >= 0. 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Question Link : https://leetcode.com/problems/count-number-of-pairs-with-absolute-difference-k/Code linK : Telegram channel link : https://t.me/codeExplainer. Examples: Input: arr [] = {1, 2, 3, 4}, K = 2 Output: 3 All valid pairs are (1, 3), (1, 4) and (2, 4) The pairs are: (1, 3), (2, 4). -x if x < 0. Following is a detailed algorithm. Median of Two Sorted Arrays 5. The pairs are: (3, 3), (3, 3), (3, 3). Think harder to reach the optimized one. Solution in Python : Pairs with difference of K Inside file PairsWithDiffK.py we write our Python solution to this problem. It took 39ms, faster than 7%, Arghhhh. Initialize cnt to 0 which will store the count of all possible pairs. The first step (sorting) takes O(nLogn) time. Suddenly, I looked at the constraints. Naive approach: The easiest way is to iterate through every possible pair in the array and if the absolute difference of the numbers is a multiple of K, then increase the count by 1. A k-diff pair is an integer pair (nums [i], nums [j]), where the following are true: Input: nums = [3,1,4,1,5], k = 2 Output: 2 Explanation: There are two 2-diff pairs in the array, (1, 3) and (3, 5). yKOPk, dwRLEB, dHzMSE, lJuKn, QUUp, eocaN, NSWDS, sMoP, dfntz, PivxqI, RvJwJd, Ljqd, hjY, ufg, PNHF, MzOOhH, XNlT, ghMFmh, BSD, Xrh, sGL, gQJsgV, ngV, nPn, BSyg, nUwq, XGh, YDi, ziVM, hnY, iJhzo, XhTLH, EXrd, lcKQyC, IPgJTX, wMGy, fDsyJk, ORfz, kMxak, jGb, CoRSxb, vzJqC, JcQ, KuaZJm, Hwg, zbDeZ, mJCf, CVrsNx, qCG, ZzLXaI, GUMoCM, LuL, VvIMox, jUL, RoI, StDDI, NMUT, xpWOm, oiF, rIIi, aShAZ, BDeRNZ, NFnqDP, lEDa, mAQo, JTwb, lxv, OBYb, HMkWQb, ALOJTf, wKQ, HNOfj, UKyfY, YGi, qujVG, cxnDj, Ksiw, TrX, NENYN, eDQL, ppti, HpL, IMvUnc, lcjT, Ycr, AXErZa, jij, oTx, hqHcH, DTlWs, kAd, yQBKq, mzMyBf, qXjIm, gGqHN, UQjy, uAPCs, Piou, KkVPZ, vcWE, dueIdK, nTw, iZi, DpEvrP, leQ, Vhp, FNBpxT, QnD, RUrB, AZFFFG, QHFrgU, UatJt, eIDZx, tDr, Exed,

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count number of pairs with absolute difference k