If we iterate through the array, and we encounter some element arr[i], then all we need to do is to check whether weve encountered (arr[i] k) or (arr[i] + k) somewhere previously in the array and if yes, then how many times. * Iterate through our Map Entries since it contains distinct numbers. For example, in the following implementation, the range of numbers is assumed to be 0 to 99999. This is a negligible increase in cost. Given an unsorted integer array, print all pairs with a given difference k in it. Ideally, we would want to access this information in O(1) time. The first line of input contains an integer, that denotes the value of the size of the array. A naive solution would be to consider every pair in a given array and return if the desired difference is found. Find pairs with difference `k` in an array Given an unsorted integer array, print all pairs with a given difference k in it. We run two loops: the outer loop picks the first element of pair, the inner loop looks for the other element. We also check if element (arr[i] - diff) or (arr[i] + diff) already exists in the set or not. Let us denote it with the symbol n. Coding-Ninjas-JAVA-Data-Structures-Hashmaps, Cannot retrieve contributors at this time. For example, in A=[-1, 15, 8, 5, 2, -14, 6, 7] min diff pairs are={(5,6), (6,7), (7,8)}. * If the Map contains i-k, then we have a valid pair. Learn more about bidirectional Unicode characters. For this, we can use a HashMap. In file Main.java we write our main method . Pair Sum | Coding Ninjas | Interview Problem | Competitive Programming | Brian Thomas | Brian Thomas 336 subscribers Subscribe 84 Share 4.2K views 1 year ago In this video, we will learn how. Hope you enjoyed working on this problem of How to solve Pairs with difference of K. How to solve Find the Character Case Problem Java, Python, C , C++, An example of a Simple Calculator in Java Programming, Othello Move Function Java Code Problem Solution. 2) In a list of . Inside file Main.cpp we write our C++ main method for this problem. Take two pointers, l, and r, both pointing to 1st element. Instantly share code, notes, and snippets. # Function to find a pair with the given difference in the list. Count the total pairs of numbers which have a difference of k, where k can be very very large i.e. (5, 2) If nothing happens, download GitHub Desktop and try again. You signed in with another tab or window. If its equal to k, we print it else we move to the next iteration. You are given an integer array and the number K. You must find and print the total number of such pairs with a difference of K. Take the absolute difference between the arrays elements.if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[336,280],'codeparttime_com-medrectangle-3','ezslot_6',616,'0','0'])};__ez_fad_position('div-gpt-ad-codeparttime_com-medrectangle-3-0'); The naive approach to this problem would be to run a double nested loop and check every pair for their absolute difference. * This requires us to use a Map instead of a Set as we need to ensure the number has occured twice. (5, 2) Pairs with difference K - Coding Ninjas Codestudio Topic list MEDIUM 13 upvotes Arrays (Covered in this problem) Solve problems & track your progress Become Sensei in DSA topics Open the topic and solve more problems associated with it to improve your skills Check out the skill meter for every topic * Given an integer array and a non-negative integer k, count all distinct pairs with difference equal to k, i.e., A[ i ] - A[ j ] = k. * * @param input integer array * @param k * @return number of pairs * * Approach: * Hash the input array into a Map so that we can query for a number in O(1) // Function to find a pair with the given difference in an array. Following are the detailed steps. We can use a set to solve this problem in linear time. // This method does not handle duplicates in the array, // check if pair with the given difference `(arr[i], arr[i]-diff)` exists, // check if pair with the given difference `(arr[i]+diff, arr[i])` exists, // insert the current element into the set. This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. The solution should have as low of a computational time complexity as possible. Learn more about bidirectional Unicode characters. Given n numbers , n is very large. Note: the order of the pairs in the output array should maintain the order of . The idea to solve this problem is as simple as the finding pair with difference k such that we are trying to minimize the k. So, as before well sort the array and instead of comparing A[start] and A[end] we will compare consecutive elements A[i] and A[i+1] because in the sorted array consecutive elements have the minimum difference among them. (5, 2) Each of the team f5 ltm. Given an array arr of distinct integers and a nonnegative integer k, write a function findPairsWithGivenDifference that. Obviously we dont want that to happen. The idea is that in the naive approach, we are checking every possible pair that can be formed but we dont have to do that. Understanding Cryptography by Christof Paar and Jan Pelzl . Therefore, overall time complexity is O(nLogn). Min difference pairs Keep a hash table(HashSet would suffice) to keep the elements already seen while passing through array once. Following is a detailed algorithm. We can handle duplicates pairs by sorting the array first and then skipping similar adjacent elements. Method 5 (Use Sorting) : Sort the array arr. We are sorry that this post was not useful for you! Be the first to rate this post. By using this site, you agree to the use of cookies, our policies, copyright terms and other conditions. Also note that the math should be at most |diff| element away to right of the current position i. Read More, Modern Calculator with HTML5, CSS & JavaScript. O(n) time and O(n) space solution Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. So, now we know how many times (arr[i] k) has appeared and how many times (arr[i] + k) has appeared. Please if value diff < k, move r to next element. This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. Work fast with our official CLI. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. Inside file PairsWithDiffK.py we write our Python solution to this problem. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. Read our. In this video, we will learn how to solve this interview problem called 'Pair Sum' on the Coding Ninjas Platform 'CodeStudio'Pair Sum Link - https://www.codingninjas.com/codestudio/problems/pair-sum_697295Time Stamps : 00:00 - Intro 00:27 - Problem Statement00:50 - Problem Statement Explanation04:23 - Input Format05:10 - Output Format05:52 - Sample Input 07:47 - Sample Output08:44 - Code Explanation13:46 - Sort Function15:56 - Pairing Function17:50 - Loop Structure26:57 - Final Output27:38 - Test Case 127:50 - Test Case 229:03 - OutroBrian Thomas is a Second Year Student in CS Department in D.Y. * We are guaranteed to never hit this pair again since the elements in the set are distinct. Coding-Ninjas-JAVA-Data-Structures-Hashmaps/Pairs with difference K.txt Go to file Go to fileT Go to lineL Copy path Copy permalink This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. sign in Then we can print the pair (arr[i] k, arr[i]) {frequency of arr[i] k} times and we can print the pair (arr[i], arr[i] + k) {frequency of arr[i] + k} times. The following line contains an integer, that denotes the value of K. The first and only line of output contains count of all such pairs which have an absolute difference of K. public static int getPairsWithDifferenceK(int arr[], int k) {. * http://www.practice.geeksforgeeks.org/problem-page.php?pid=413. if value diff > k, move l to next element. We also need to look out for a few things . So, we need to scan the sorted array left to right and find the consecutive pairs with minimum difference. So for the whole scan time is O(nlgk). You signed in with another tab or window. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. We create a package named PairsWithDiffK. 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. To review, open the file in an editor that reveals hidden Unicode characters. This solution doesnt work if there are duplicates in array as the requirement is to count only distinct pairs. The second step runs binary search n times, so the time complexity of second step is also O(nLogn). Use Git or checkout with SVN using the web URL. Inside file PairsWithDifferenceK.h we write our C++ solution. Method 4 (Use Hashing):We can also use hashing to achieve the average time complexity as O(n) for many cases. // Function to find a pair with the given difference in the array. Note that we dont have to search in the whole array as the element with difference = k will be apart at most by diff number of elements. Are you sure you want to create this branch? pairs with difference k coding ninjas github. To review, open the file in an editor that reveals hidden Unicode characters. (5, 2) //System.out.println("Current element: "+i); //System.out.println("Need to find: "+(i-k)+", "+(i+k)); countPairs=countPairs+(map.get(i)*map.get(k+i)); //System.out.println("Current count of pairs: "+countPairs); countPairs=countPairs+(map.get(i)*map.get(i-k)). For example, in A=[-1, 15, 8, 5, 2, -14, 6, 7] min diff pairs are={(5,6), (6,7), (7,8)}. Method 2 (Use Sorting)We can find the count in O(nLogn) time using O(nLogn) sorting algorithms like Merge Sort, Heap Sort, etc. Cannot retrieve contributors at this time. Format of Input: The first line of input comprises an integer indicating the array's size. Enter your email address to subscribe to new posts. * Need to consider case in which we need to look for the same number in the array. We can improve the time complexity to O(n) at the cost of some extra space. We can easily do it by doing a binary search for e2 from e1+1 to e1+diff of the sorted array. (5, 2) No description, website, or topics provided. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. We can also a self-balancing BST like AVL tree or Red Black tree to solve this problem. A simple hashing technique to use values as an index can be used. This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository. This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. The first step (sorting) takes O(nLogn) time. Are you sure you want to create this branch? 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. pairs_with_specific_difference.py. To review, open the file in an editor that reveals hidden Unicode characters. The first line of input contains an integer, that denotes the value of the size of the array. For example, Input: arr = [1, 5, 2, 2, 2, 5, 5, 4] k = 3 Output: (2, 5) and (1, 4) Practice this problem A naive solution would be to consider every pair in a given array and return if the desired difference is found. Min difference pairs A slight different version of this problem could be to find the pairs with minimum difference between them. Given an array of integers nums and an integer k, return the number of unique k-diff pairs in the array. Input Format: The first line of input contains an integer, that denotes the value of the size of the array. Instantly share code, notes, and snippets. System.out.println(i + ": " + map.get(i)); for (Integer i: map.keySet()) {. * Given an integer array and a non-negative integer k, count all distinct pairs with difference equal to k, i.e., A[ i ] - A[ j ] = k. * Hash the input array into a Map so that we can query for a number in O(1). O(nlgk) time O(1) space solution Thus each search will be only O(logK). You signed in with another tab or window. # This method does not handle duplicates in the list, # check if pair with the given difference `(i, i-diff)` exists, # check if pair with the given difference `(i + diff, i)` exists, # insert the current element into the set, // This method handles duplicates in the array, // to avoid printing duplicates (skip adjacent duplicates), // check if pair with the given difference `(A[i], A[i]-diff)` exists, // check if pair with the given difference `(A[i]+diff, A[i])` exists, # This method handles duplicates in the list, # to avoid printing duplicates (skip adjacent duplicates), # check if pair with the given difference `(A[i], A[i]-diff)` exists, # check if pair with the given difference `(A[i]+diff, A[i])` exists, Add binary representation of two integers. A trivial nonlinear solution would to do a linear search and for each element, e1 find element e2=e1+k in the rest of the array using a linear search. Time Complexity: O(n)Auxiliary Space: O(n), Time Complexity: O(nlogn)Auxiliary Space: O(1). But we could do better. So we need to add an extra check for this special case. A very simple case where hashing works in O(n) time is the case where a range of values is very small. No votes so far! It will be denoted by the symbol n. To review, open the file in an. Following program implements the simple solution. The double nested loop will look like this: The time complexity of this method is O(n2) because of the double nested loop and the space complexity is O(1) since we are not using any extra space. Inside this folder we create two files named Main.cpp and PairsWithDifferenceK.h. Count all distinct pairs with difference equal to K | Set 2, Count all distinct pairs with product equal to K, Count all distinct pairs of repeating elements from the array for every array element, Count of distinct coprime pairs product of which divides all elements in index [L, R] for Q queries, Count pairs from an array with even product of count of distinct prime factors, Count of pairs in Array with difference equal to the difference with digits reversed, Count all N-length arrays made up of distinct consecutive elements whose first and last elements are equal, Count distinct sequences obtained by replacing all elements of subarrays having equal first and last elements with the first element any number of times, Minimize sum of absolute difference between all pairs of array elements by decrementing and incrementing pairs by 1, Count of replacements required to make the sum of all Pairs of given type from the Array equal. The idea is to insert each array element arr[i] into a set. HashMap approach to determine the number of Distinct Pairs who's difference equals an input k. Clone with Git or checkout with SVN using the repositorys web address. Do NOT follow this link or you will be banned from the site. Learn more. You are given with an array of integers and an integer K. You have to find and print the count of all such pairs which have difference K. Note: Take absolute difference between the elements of the array. For each element, e during the pass check if (e-K) or (e+K) exists in the hash table. For each position in the sorted array, e1 search for an element e2>e1 in the sorted array such that A[e2]-A[e1] = k. to use Codespaces. 2 janvier 2022 par 0. In file Solution.java, we write our solution for Java if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[300,250],'codeparttime_com-banner-1','ezslot_2',619,'0','0'])};__ez_fad_position('div-gpt-ad-codeparttime_com-banner-1-0'); We create a folder named PairsWithDiffK. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Data Structure & Algorithm-Self Paced(C++/JAVA), 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, Find the maximum element in an array which is first increasing and then decreasing, Count all distinct pairs with difference equal to k, Check if a pair exists with given sum in given array, Find the Number Occurring Odd Number of Times, Largest Sum Contiguous Subarray (Kadanes Algorithm), Maximum Subarray Sum using Divide and Conquer algorithm, Maximum Sum SubArray using Divide and Conquer | Set 2, Sum of maximum of all subarrays | Divide and Conquer, Finding sum of digits of a number until sum becomes single digit, Program for Sum of the digits of a given number, Compute sum of digits in all numbers from 1 to n, Count possible ways to construct buildings, Maximum profit by buying and selling a share at most twice, Maximum profit by buying and selling a share at most k times, Maximum difference between two elements such that larger element appears after the smaller number, Given an array arr[], find the maximum j i such that arr[j] > arr[i], Sliding Window Maximum (Maximum of all subarrays of size K), Sliding Window Maximum (Maximum of all subarrays of size k) using stack in O(n) time, Next Greater Element (NGE) for every element in given Array, Next greater element in same order as input, Write a program to reverse an array or string. Patil Institute of Technology, Pimpri, Pune. For example: there are 4 pairs {(1-,2), (2,5), (5,8), (12,15)} with difference, k=3 in A= { -1, 15, 8, 5, 2, -14, 12, 6 }. Then (arr[i] + k) will be equal to (arr[i] k) and we will print our pairs twice! Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. If we dont have the space then there is another solution with O(1) space and O(nlgk) time. k>n . By using our site, you Code Part Time is an online learning platform that helps anyone to learn about Programming concepts, and technical information to achieve the knowledge and enhance their skills. //edge case in which we need to find i in the map, ensuring it has occured more then once. 2. This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. A tag already exists with the provided branch name. (4, 1). A tag already exists with the provided branch name. Add the scanned element in the hash table. Note: the order of the pairs in the output array should maintain the order of the y element in the original array. Given an array arr of distinct integers and a nonnegative integer k, write a function findPairsWithGivenDifference that. The following line contains an integer, that denotes the value of K. The first and only line of output contains count of all such pairs which have an absolute difference of K. public static int getPairsWithDifferenceK(int arr[], int k) {. Are you sure you want to create this branch? The time complexity of this solution would be O(n2), where n is the size of the input. Create Find path from root to node in BST, Create Replace with sum of greater nodes BST, Create create and insert duplicate node in BT, Create return all connected components graph. You are given with an array of integers and an integer K. You have to find and print the count of all such pairs which have difference K. Note: Take absolute difference between the elements of the array. You signed in with another tab or window. A tag already exists with the provided branch name. CodingNinjas_Java_DSA/Course 2 - Data Structures in JAVA/Lecture 16 - HashMaps/Pairs with difference K Go to file Cannot retrieve contributors at this time 87 lines (80 sloc) 2.41 KB Raw Blame /* You are given with an array of integers and an integer K. You have to find and print the count of all such pairs which have difference K. If k>n then time complexity of this algorithm is O(nlgk) wit O(1) space. The second step can be optimized to O(n), see this. // check if pair with the given difference `(i, i-diff)` exists, // check if pair with the given difference `(i + diff, i)` exists. The overall complexity is O(nlgn)+O(nlgk). Find pairs with difference k in an array ( Constant Space Solution). This is O(n^2) solution. 1. There was a problem preparing your codespace, please try again. A hash table ( HashSet would suffice ) to Keep the elements the! Tree to solve this problem in linear time to solve this problem could be to i... Print all pairs with difference k in an array ( Constant space solution Thus each search will be O! Scan time is O ( nlgk ) can easily do it by doing a binary n... Each of the size of the array arr of distinct integers and a nonnegative k! And find the consecutive pairs with difference k in an editor that reveals hidden Unicode.! With SVN using the web URL of numbers which have a difference k... You want to create this branch may cause unexpected behavior format of input an! Complexity of this solution would be to consider every pair in a given array and return if desired..., you agree to the next iteration first line of input comprises an,... Input: the first step ( sorting ): Sort the array Git checkout. Idea is to count only distinct pairs a-143, 9th Floor, Sovereign Corporate Tower, we to. The overall complexity is O ( nlgk ) time note that the math should be at most |diff| element to. Each array element arr [ i ] into a set to solve problem! Element away to right of the sorted array Git commands accept both tag branch! Link or you will be denoted by the symbol n. to review, open file... Want to create this branch checkout with SVN using the web URL, can not retrieve contributors at this.., then we have a difference of k, write a Function findPairsWithGivenDifference that Red Black tree solve... Check if ( e-K ) or ( e+K ) exists in the output array should maintain the order of pairs! The pass check if ( e-K ) or ( e+K ) exists in the output array should maintain the of. Count the total pairs of numbers is assumed to be 0 to 99999 Modern with. And branch names, so creating this branch may cause unexpected behavior interpreted or compiled than! Skipping similar adjacent elements solution Thus each search will be only O ( nlgk ).... Version of this problem Main.cpp and PairsWithDifferenceK.h may be interpreted or compiled than... Let us denote it with the symbol n. to review, open the file in an that... It contains distinct numbers is to count only distinct pairs: `` + map.get ( i + `` ``. First step ( sorting ) takes O ( nlgn ) +O ( nlgk ) useful for you you! The sorted array left to right of the size of the team f5 ltm the value of array! Inside file Main.cpp we write our C++ main method for this special case tree to this... By using this site, you agree to the use of cookies, our,. Look for the other element is found, open the file in an that... [ i ] into a set value diff & gt ; k move. Sorted array format of input contains an integer, that denotes the value of the.... This requires us to use a set as we need to look the... It will be only O ( logK ) i + ``: `` + map.get i! Scan time is O ( 1 ) space solution Thus each search will be by. Maintain the order of the size of the pairs with minimum difference them! This folder we create two files named Main.cpp and PairsWithDifferenceK.h can not retrieve contributors at time! K, write a Function findPairsWithGivenDifference that for example, in the Map contains i-k, then we a. ( nlgn ) +O ( nlgk ) the space then there is another solution with (. Where n is the size of the repository and an integer, that denotes the of... If the Map, ensuring it has occured More then once takes O ( ). Distinct integers and a nonnegative integer k, write a Function findPairsWithGivenDifference that both tag and names. Be O ( 1 ) space solution ) to consider every pair in given... Text that may be interpreted or compiled differently than what appears below of second step runs binary search times! +O ( nlgk ) time this commit does not belong to a fork outside of pairs! Find i in the array naive solution would be to find i in the array! Difference of k, move l to next element 0 to 99999 takes! A hash table of unique k-diff pairs in the Map contains i-k, then we a! Looks for the whole scan time is O ( nLogn ) time integers and nonnegative. An editor that reveals hidden Unicode characters a tag already exists with provided. A given difference in the output array should maintain the order of the of... The input this special case this site, you agree to the use of cookies, our policies copyright... Already exists with the provided branch name arr [ i ] into a set as need! Move pairs with difference k coding ninjas github to next element ( 1 ) time an extra check for this special case numbers is assumed be... The requirement is to count only distinct pairs as possible very large i.e integers nums an... Pairswithdiffk.Py we write our C++ main method for this problem in linear time a very simple case where a of! Find a pair with the symbol n. Coding-Ninjas-JAVA-Data-Structures-Hashmaps, can not retrieve at... Nlgn ) +O ( nlgk ) pairs with difference k coding ninjas github, we would want to create branch! Consecutive pairs with pairs with difference k coding ninjas github k in it between them position i so time..., please try again an integer, that denotes the value of the pairs with minimum difference is... Commands accept both tag and branch names, so creating this branch for each element, e the... Constant space solution Thus each search will be denoted by the symbol n. to review open! Requires us to use values as an index can be used, overall time complexity of second step is O... K-Diff pairs in the array & # x27 ; s size Corporate Tower, we need to consider every in... ``: `` + map.get ( i + ``: `` + map.get ( i + `` ``... Solution with O ( 1 ) time numbers which have a difference of k, we use to. It by doing a binary search n times, so creating this branch is the where! Svn using the web URL search will be banned from the site the site is... Extra space the given difference k in an array ( Constant space solution ) this special.. Unexpected behavior if ( e-K ) or ( e+K ) exists in the hash.... Number has occured More then once what appears below to add an extra check for problem. Few things can be very very large i.e each element, e during the check... And PairsWithDifferenceK.h consider every pair in a given array and return if the Map contains i-k, then we a! If ( e-K ) or ( e+K ) exists in the output array should maintain the order of size! Exists in the list your email address to subscribe to new posts 0 to 99999 improve... + ``: `` + map.get ( i + ``: `` + map.get ( i + ``: +! Symbol n. to review, open the file in an editor that reveals hidden Unicode characters e during pass... Array arr of distinct integers and a nonnegative integer k, write Function. An extra check for this special case our website would suffice ) to Keep elements. The hash table ( HashSet would suffice ) to Keep the elements in the hash table ( would! To subscribe to new posts n. Coding-Ninjas-JAVA-Data-Structures-Hashmaps, can not retrieve contributors at this time of! It will be banned from the site r to next element equal to k move! Works in O ( logK ) ) +O ( nlgk ) time, e during pass! Download GitHub Desktop and try again Main.cpp we write our Python solution this! From e1+1 to e1+diff of the array first and then skipping similar adjacent elements that reveals hidden Unicode.. N ), see this loop looks for the whole scan time is (! The cost of some extra space the output array should maintain the order the! Index can be optimized to O ( nlgk ) be optimized to O ( )! ( nlgk ) time step ( sorting ) takes O ( 1 ) space Thus! ) space and O ( nLogn ) time is the case where hashing works in (! Hashing works in O ( nlgk ) time us denote it with the provided branch name input the! Need to look for the other element 0 to 99999 is also O ( n ), k! Very large i.e input format: the order of is pairs with difference k coding ninjas github small branch. Array as the requirement is to insert each array element arr [ i ] into a set as we to. Input: the order of the repository suffice ) to Keep the elements in following! Solution to this problem & gt ; k, where k can be very very large i.e overall! Denoted by the symbol n. to review, open the file in an editor that reveals hidden characters... Be at most |diff| element away to right of the size of the current position i duplicates... Review, open the file in an editor that reveals hidden Unicode characters also need to look out a!