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We have an array of n integers point and an integer k?
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We have an array of n integers point and an integer k?
(20 points) You are given an array A of n positive integers, each no larger than m. Given the integer array cardPoints and the integer k, return the maximum score you can obtain. Examples: Input: Problem - 1353B - Codeforces. You can add any positive integer to any element of the array such that the total value does not exceed k. The stepwise algorithm is: Find x = arr [i]%k. The following line contains n integers representing the array A. You are given an array of integers, A1, A2,. Note: It is proved that N-1 such pairs always exists. Very similar to problem 10. Explanation: 1 + 2 + 3 = 6. This is the best place to expand your knowledge and get prepared for your next interview. Increment point[i] by k Decrement point[i] by k. They have an array of options, including stunt shows and drama. Once you do that, things are fairly straightforward. divisibleSumPairs has the following parameter (s): • int n: the length of array ar ⚫ int ar [n]: an array of integers. But as much as I understand, memoization simply removes overlapping subproblems. Represents the size of array nums ⋅K : provide code in java only. Given an array arr [] of size n containing integers. The i -th query is described as a pair of integers (li, ri). I have added Integer. Set , K to the position which comes first after the K rotation i K=N-K. The following line contains n integers representing the array A. You have an array a containing n integers and an integer m. Complete the maxSubarray function in the editor below. Subtract each element of the subarray with the maximum. Given an array of N integers the task is to select K elements out of these N elements in such a way that the minimum difference between each of the K numbers is the Largest. Apr 13, 2021 · Given two integers 'N' and 'K', the task is to count the number of triplets (a, b, c) of positive integers not greater than 'N' such that 'a + b', 'b + c', and 'c + a' are all multiples of 'K'. Input : 11 8 5 7 5 100 k = 4Output : 1400Recommended PracticeMinimum Product of k IntegersTry It!An ap Given an array arr[] consisting of N integers, the task is to count the number of distinct pairs of array elements having the product of indices equals the product of elements at that indices. However, if m = 4 the same array would have beauty 0. Report. Parameters: low int or array-like of ints. Note: The integer K is always present in array arr [] and is unique. A number from an array can be chosen any number of times. You are given a one dimensional array that may contain both positive and negative integers, find the sum of contiguous subarray of numbers which has the largest sum. For example, the array [1,1,1,2] has two different valid pairs:(1,1) and (1,2). Introduction. A simple solution would be to use an efficient sorting algorithm to sort the array in. Subset Sum Problem using Dynamic Programming with space optimization to linear: Idea: In previous approach of dynamic programming we have derive the relation between states as given below: Jul 9, 2015 · Given an array of integers A, and an integer K find number of happy elements. Jul 29, 2009 · The third way of initializing is useful when you declare an array first and then initialize it, pass an array as a function argument, or return an array. Now i have to write a function: int solution(int A[], int N); that, given a zero-indexed array A consisting of N integers, returns any of its equilibrium indices. Some simple rules for subtracting integers have to do with the negative sign. Set start and end as 0 and N - 1, where the start and end variables denote the lower and upper bound of the search space respectively. Note that the last integer of the increasing sequence is also the. The given array may contain duplicates and the output should print every element only once. Each element belongs to exactly one pair. We are allowed to perform the below operation any number of times. This is the best place to expand your knowledge and get prepared for your next interview. The sum is 110 and no two elements are adjacent. Given an integer X and a binary tree, the task is to count the number of triplet triplets. Step 2. Return the final value of mini. Apr 17, 2023 · Given an array arr[] of n integers and an integer k. The task is to find N - 1 different pair of positive integers X, Y that satisfy the following conditions : X ≠ YX, Y both belong to the array. Output: Print the k largest element in descending order. If such an X exists, we also need to find the maximum value of X and print -1 if there is no such positive integer X. Given an array arr[] of N integers and an integer K, the task is to find the number of anomalies in the array. Select an element m from nums. How to use axis to specify how we want to stack arrays Receive Stories fro. Mac OS X: Skype Premium subscribers can now use screen sharing in group video calls with Skype 5 Mac OS X: Skype Premium subscribers can now use screen sharing in group v. In strictly increasing array A [i] < A [i+1] for 0 <= i < n. Count the number of pairs whose sum exists in the given array. Now what we get from the above calculation is that 'k' should be a divisor of difference between the two numbers. With a tantalizing array of choices, you can enjoy your favo. Examples: Input: arr[] = {1, 3, 3, 7}, K = 4 Output: 0 Explanation: The given array can be split into 4 subarrays as {1}, {3}, {3}, and {7}. Example 1: Input: nums = [1,2,3,3,4,4,5,6], k = 4 Output: true Explanation: Array can be divided into [1,2,3,4] and [3,4,5,6]. Can you solve this real interview question? K Closest Points to Origin - Level up your coding skills and quickly land a job. int k: the integer divisor Returns -int: the number of pairs Input Format The first line contains 2 space-separated integers, 1 1. If no element occurs k times, print -1. Another way to find largest element by using library function. If no i, j exist satisfying this equation, return -1. If x = A[n/4] and x ≠ A[3n/4] then search in A[1] to A[3n/4 + 1]. So you can pick k as a, b or any integer in-between (if there. Fastest way to find smallest missing integer from list of integers What is the best way to look for the smallest element greater than 0 (or maybe in general k) in a vector?. Given an array of non-negative integers of length N and an integer K. They have an array of options, including stunt shows and drama. Input: arr [] = {5, 4, 6}, k = 2 Algorithm: Store the first k elements in an array and sort that in ascending order. Example 1: Input: nums = [34,23,1,24,75,33,54,8], k = 60 Output: 58 Explanation: We can use 34 and 24 to sum 58 which. length Jan 7, 2024 · Given an array of integers arr [] consisting of N integers, the task is to minimize the sum of the given array by performing at most K operations, where each operation involves reducing an array element arr [i] to floor (arr [i]/2). The plus one forces the resulting index to be negative, so we go through the original array from the back. Note: Return equilibrium point in 1-based indexing. Output: 0 Given three integers N, K and D, the task is to construct an array of size N such that every subarray of size K has a MEX value of D. Given an array, find the largest element in that given array. scroggin Examples: Input: k = Mar 24, 2018 · **Given an array Arr[ ] of N integers and a positive integer K. Examples: Input: N = 4, K = 3, D = 4Output: -1Explanation: As D exceeds K, it is impossib A subarray is called alternating if any two consecutive numbers in it have opposite signs (i one of them should be negative, whereas the other should be positive). The first line of each test case is N and k, N is the size of array and K is the largest elements to be returned. Extra credit: Develop a program that solves the problem in quadratic time Solution: ThreeSumDeluxe; Quicksort. Return true If you can find a way to do that or false otherwise. If it is not present then 1 is the answer. Output Format : Print the number of subarrays that have exactly 'K' distinct values. Are you tired of using the same old Power Point templates for your presentations? Do you want to make your slides more visually appealing and engaging? If so, you’ve come to the ri. We want to merge them into array C. 159 Given an array of integers, A 1, A 2,. TCS organizes this global level coding competition in order to promote Porgramming-As-a-Sport in the search of world's best Coder. If we cannot get the required sum the print -1. Subtract each element of the subarray with the maximum. Advertisement Binary files are very similar to arrays of structures, except the structures are in a disk file rather than in an array in memory. First handle the case : if K >=N, for that set K= K%N. Once an array is declared its size remains constant throughout the program Given a permutation of first n natural numbers as array and an integer k. The program should print only combinations, not permutations and all the integers in a combination must be distinct. If no i, j exist satisfying this equation, return -1. Which data structure could be used to minimize Time Complexity? My Thoughts: One easy way could be to keep the numbers sorted. Subset Sum Problem using Dynamic Programming with space optimization to linear: Idea: In previous approach of dynamic programming we have derive the relation between states as given below: Jul 9, 2015 · Given an array of integers A, and an integer K find number of happy elements. Initially, we start from the index 0 and we need to reach the last index i N - 1. Waco, Texas is not only known for its rich history and vibrant culture, but also for its wide array of family-friendly tourist attractions. For every query, you can increase all the elements of the array in the index range [L, R] by 1. oncor outage map dallas A [0] = 3 A [1] = 4 A [2] = 3 A [3] = 2 A [4] = 3 A [5] = -1 A [6] = 3 A [7] = 3. - Given an array of non-negative integers of length N and an integer K. java that sorts an array of Comparable objects by by using. Note: Return equilibrium point in 1-based indexing. Each query is represented by two numbers L and R, and it asks you to compute some function Func with subarray Arr[LR] as its argument For the sake of brevity we will denote Func([L, R]) as the value of Func on subarray Arr[LR]. So we can write b = a + d where d is a positive integer and ‘k’ be a number such that b%k = a%k. Jul 10, 2023 · Given a positive integer N, the task is to find out all the combinations of positive integers that add upto the given integer N. Given an array arr [] of size N-1 with integers in the range of [1, N], the task is to find the missing number from the first N integers. As a starter, the variable a is undefined, so you need a declaration like so:. Write a function: function solution(A); that, given an array A of N integers, returns the smallest positive integer (greater than 0) that does not occur in A. Given an array arr[] of length n and an integer k, the task is to find the number of indices from 2 to n-1 in an array having a difference of the sum of the left and right sub arrays equal to the multiple of the given number k. Naive Approach:- As the maximum difference will be in between smallest and the largest array so we will simply sort the array and get the maximum difference Efficient Approach: The idea is to use the Kadane's Algorithm to find the maximum subarray sum and store the starting and ending index of the subarray having maximum sum and print the subarray from starting index to ending index. Find the largest positive number less than equal to 10^9 such that at least K numbers. From the rooftop bars and designer boutiques that give the city a. navigate to nearby walmart Blogging can serve a huge array of. Saved searches Use saved searches to filter your results more quickly Alice and Bob are playing a game. If k ==0 or k is even, return the sum of all elements. Find those K consecutive elements in the array, which have maximal sum. So you can pick k as a, b or any integer in-between (if there. Examples : Input : arr[] = { 4, 7 } k = 1 Output : 7 Explanation : One of the possible solutions is to add 8 making the array [4, 7, The maximum subsequence sum is comprised of elements at indices and their sum is. In today’s digital era, accessing reliable and up-to-date information has become easier than ever before. Apr 17, 2024 · Approach : Iterate the array and perform these steps : 1. The pairs (x, y) and (y, x) are considered as the same pairs. Problem 3: (25 Points) Given an unsorted array, A, of integers and an integer k : 3. Pessimism has taken a blow and has been costly over the last several trading daysPG Since Wednesday stocks have climbed by integers. The idea is to keep the array sorted so that the K th largest element can be found in O (1) time (we just need to return the first element of the array, if the.
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Find the least number of unique integers after removing exactly k elements. You can convert your primitive int array into an arraylist of Integers using below Java 8 code, List arrayElementsList = Arraysboxed ()toList ()); And then use contains () method to check if the list contains a particular element, boolean containsElement = arrayElementsList. Find the minimum possible value of max(a1,a2, …,an) ⋅ max(b1,b2. In computer science, an array is a data structure consisting of a collection of elements (values or variables), of same memory size, each identified by at least one array index or key. If arr [mid] is found to be equal to K, print mid as the required answer. (b) N is even, and the median is the average of two integers, a and b. If more than 1 element is at the same distance, print them in increasing order. Note: Here we have a stream instead of a whole array and we are allowed to store only K elements. find out the maximum power he can achieve after performing exactly K operations. Therefore, sum of the array = 17. In other words, the optimal division of array into N pairs should result into a maximum pair sum which is minimum of other maximum pair sum of all possibilities. Else, If the sum is bigger, Decrease the end pointer. It merely tells the compiler that this variable (int Array) will hold an array of the integer type. Now we have to find the same for each a present in the given array. The idea to solve this problem is iterate on the elements of given array and check given elements in an array and keep track of first and last occurrence of the found element's index. Input: arr[] = {-10, -5, 0, 3, 7} 3. After multiplication, find the sub-array with the maximum sum. You can use it to promote services, build your brand, or increase your revenue. Determine the number of pairs of array elements that have a difference equal to a target value. dr pop moody car accident death Apr 13, 2021 · Given two integers 'N' and 'K', the task is to count the number of triplets (a, b, c) of positive integers not greater than 'N' such that 'a + b', 'b + c', and 'c + a' are all multiples of 'K'. Push the index of each element onto the. Can you solve this real interview question? Check If Array Pairs Are Divisible by k - Given an array of integers arr of even length n and an integer k. (25 points ) Can you solve this real interview question? Number of Good Pairs - Given an array of integers nums, return the number of good pairs. We traverse the array in a linear fashion. The task is to minimize the number of operations required choose array elements that sum up to K. Opening a retail store is a popular way to star. While repeating pairs will not be counted again. In today’s fast-paced business environment, small businesses need every advantage they can get to stay competitive. The cost of moving from one index i to the other index j is abs(arr[i] - arr[j]). One tool that can make a significant difference is point of sale. However, we don't need to use a Python set to store [1, len(A)+1], because we're starting with a dense set. Take the sum of all the values after subtraction. Examples: Input: K = 5, N = 3, arr = {3, 7, 13}Output: 2Explanation: As currently K is 5 we can subtract 2 to get 3 now K become 3. Given an array arr[] of N elements and an integer K, the task is to make any K elements of the array equal by performing only increment operations i in one operation, any element can be incremented by 1. For example, for input 3, either 1, 2 or 2, 1 should be printed and 1, 1, 1 must not be printed as the i Apr 5, 2023 · Given an array of positive integers and many queries for divisibility. Follow the steps to solve the problem: Reverse the array two times. Given an Array [] of N elements and a number K Split the given array into K subarrays (they must cover all the elements). Jul 5, 2024 · Given an array arr[] of size N that contains -1 and all positive integers, the task is to modify the array and print the final array after performing the below valid operations: Choose -1 from the array. Step 1 (25 Points) Given an array A of size N-1 that contains all integers in the range of 1 to N, except one missing integer, write the CH code to implement an efficient linear algorithm (that is, the time complexity is 0 (N)) to find the missing number. In the inner loop, get the first negative integer of the current subarray (window). Given an array of non-negative integers of length N and an integer K. Vinyl plank flooring is a durable choice for home flooring. for sale by owner trucks near me The running time of the algorithm is O(n), where n is the number of elements in the array Define the function rearrangeArray(A, k) to rearrange the elements in the array A You need to remove exactly K integers from the given array such that the maximum difference between adjacent elements is minimum. If there are less than k elements before or after the index i, then the k-radius average is -1 Build and return an array avgs of length n where avgs. The most commonly used method for hashing integers is called modular hashing: we choose the array size M to be prime, and, for any positive integer key k, compute the remainder when dividing k by M. K Closest Points to Origin - Level up your coding skills and quickly land a job. Examples: Input : arr[] = {1, 2, 3, 5, 10} Output Our expert help has broken down your problem into an easy-to-learn solution you can count on Let A be a sorted array of n integers. Printing any one of them is acceptable Examples: Input: N = 1, K = 5Output: 5Explanation: Sum of all elements = 5 and 5 is divisible by 5. Find the maximum sum of triplet( a i + a j + a k). Note: Positive number starts from 1. Auxiliary Space: O(sum*n), as the size of the 2-D array is sum*n. +1, although beware that Hoare's quickselect algorithm isn't O (n), it has bad worst cases. If there are less than k elements before or after the index i, then the k-radius average is -1 Build and return an array avgs of length n where avgs. Given an array arr[] of N integers representing the position of N points along a straight line and an integer K, the task is to find the minimum value of the maximum distance between adjacent points after adding K points anywhere in between, not necessarily on an integer position Examples: Input: arr[] = {2, 4, 8, 10}, K = 1 Output: 2 Explanation: A point at position 6 can be added. Repeat these steps until the array gets empty. - Given an array of non-negative integers of length N and an integer K. // will be the sum of the numbers in the array. The problem is to find the length of the longest sub-array having sum equal to the given value k. Take the sum of all the values after subtraction. The basic idea behind Counting Sort is to count the frequency of each distinct element in the input array and. Find the maximum sum of triplet( a i + a j + a k). The Mayborn Museum Complex is an excelle. Below are the steps: Given an integer k and a queue of integers, The task is to reverse the order of the first k elements of the queue, leaving the other elements in the same relative order. From the C99 standard §62. Eg : (2, 1) and (1, 2) will be considered as only one pair. Given an array A [] of N numbers, we need to maximize the sum of selected numbers following the given operation: Given an array arr [] of N integers and an integer K, the task is to sort these integers according to their distance from given integer K. 600 shot firework cake If you’re looking for a new place to call home that offers comfort, convenience, and a touch of luxury, look no further than Pelican Point Apartments. The task is to make all the elements of arr[] equal with the given operation. Here, we offer five regions where Silversea consistently shines, promising a cruise meeting — if not exceeding — anyone’s idea of a dream vacation. 1 (Array Subscripting): One of the expressions shall have type ‘‘pointer to object type ’’, the other expression shall have integer type, and the result has type ‘‘ type ’’. Given an array of non-negative integers of length N and an integer K. In each operation you have to delete either the first or the last element of the array. In other words, we need to find out 3 such array indices which can become sides of a non-degenerate triangle. Test cases are generated so that the answer fits in a 32-bit integer. Smallest subarray with k distinct numbers. If it is possible to make the sum of array elements equal to X, then print "Yes". The task is to divide the array into K parts ( subarray ) such that the sum of the values of all subarray is minimum. Print the sum after performing K such queries. Calculate mid = (start + end) / 2. Take the value of K , from the user. MPWR: Get the latest Monolithic Power Systems stock price and detailed information including MPWR news, historical charts and realtime prices. O(n logn) Solution: Traverse the array: O(n) For element a[i], find a[i]+k in the array using binary search :O(log n); Total Time: O(n logn) O(n) Solution: Store all elements of the array in a Hash Table: O(n) Minimum product of k integers in an array of positive Integers; Leaf starting point in a Binary Heap data structure;.
Print the lexicographically largest permutation after at most k swaps that, given an array A of N integers, returns the smallest positive integer (greater than 0) that does not occur in A. Examples: Input: N = 4, K = 3, arr = [2, 6, 2, 5]Output: 1Explanation: 3 elements out of 4 elements are to Input: N = 5 Approach: The idea is to first create an array filled with zeroes of size N. Any help will be appreciated! You have to perform the following operation exactly once: add x to the elements on exactly k distinct positions, and subtract x from all the others. For every element that matches with x, we increment count. Examples: Input: arr[] = {1, 2, 3}, k = 3 Output: 1 Either remove 1 and 2 to reduce the array to {3} or remove 3 to get the array {1, 2}. jax weather radar Given an integer N, the task is to count the number of ways in which N can be expressed as an exponent, i, xy, where x and y are positive integers. With a tantalizing array of choices, you can enjoy your favo. Jun 26, 2024 · Given an array arr [] of N distinct elements and a number K, where K is smaller than the size of the array. The variable 'lo' which points. Given an array arr[] of N integers and an integer K, one can move from an index i to any other j if j <= i + k. idlewild sulphur springs The task is to find all the unique combinations from the given array such that sum of the elements in each combination is equal to K. Take the sum of all the values after subtraction. If true then go to (n-1)th element. Finally, print the count obtained Time Complexity: O(N 2) Auxiliary Space: O(1) Efficient Approach: The idea is to transform the given expression (a[i] - b[j. I have added Integer. Step 2: Pick next smaller element which is 5 and insert in into Array3 and update the pointer 'i' and 'k' after comparing 'i' and 'j'. We need to find that element in linear time and constant extra space. Given an array of non-negative integers of length N and an integer K. red robin nearme To get the next integer you add the next fp number to your running total, round the running total, then subtract the integer running total from the rounded running total:-. Otherwise Vasya loses. The beauty of an array is the fewest number of times that any integer from 1 to m inclusive appears in the array. int[] a = new int[array. Note: The integer K is always present in array arr [] and is unique. Auxiliary Space: O(N), Temporary array.
length Jan 7, 2024 · Given an array of integers arr [] consisting of N integers, the task is to minimize the sum of the given array by performing at most K operations, where each operation involves reducing an array element arr [i] to floor (arr [i]/2). Can you solve this real interview question? Rearrange Array Elements by Sign - Level up your coding skills and quickly land a job. Given an integer array nums and an integer k, return the maximum sum of a non-empty subsequence of that array such that for every two consecutive integers in the subsequence, nums[i] and nums[j], where i < j, the condition j - i <= k is satisfied A subsequence of an array is obtained by deleting some number of elements (can be zero) from the array, leaving the remaining elements in their. This step takes O (n) time. If you need to initialize it, a = array. Remove the closest non-negative element (if there is any) to its left, as well as remove -1 itself. Given a number N, the task is to find the integer points (x, y). Because the structures in a binary. Time Complexity: O(K) + O(m * log(k)) , where M = N - K Auxiliary Space: O(K) Note: We can also use a Balanced Binary Search Tree instead of a Heap to store k+1 elements. Then the segments are {5}, {7}, {4, 2, 8, 1, 6}. Increment i and multiply all negative elements by -1 till k becomes or a positive element is reached. Note: Distance between two elements in the array is measured as the difference between their index. I have written two solutions to that problem Learn how to cyclically rotate an array by one in C language with examples and explanations. Examples : Input : arr[] = {1, 2, 1, 3, 4, 2}, k = 2 Output : 4 First non-repeating element is 3 Second non-repeating elem Degree of an Array - Given a non-empty array of non-negative integers nums, the degree of this array is defined as the maximum frequency of any one of its elements. Mo's algorithm is a generic idea. stack as long as the element is less than or equal to the previous element. We Define power of an array as the product of first and last element of the array. Advertisement Binary files are very similar to arrays of structures, except the structures are in a disk file rather than in an array in memory. The given array may contain duplicates and the output should print every element only once. Also the relative position should not be changed Ans: -1 -2 1 3 2 Function description Complete the solve function. But what’s even more thrilling is being able to redeem those points for fantastic. Given an array which has n integers, It has both positive and negative integers. If true then go to (n-1)th element. Follow the given steps to solve the problem: Create a map mp, to store key-value pair, i element-frequency pair. taiga femboy Practice this problem. Let f(a) be the maximum possible sum of a subarray. For example, if the multiset contains elements 1 1, 4 4, 2 2, 1 1, 4 4. Step 1: Pick Smaller element which is 4 and insert in into Array3 and update the pointer 'j 'and 'k' after comparing 'i' and 'j'. In case of multiple subarrays, return the subarray indexes which come first on moving from left to right. c = 0 fc = 0 for i in range(n): if arr[i] % 2 != 0: c = 0 temp = arr[i] c += 1 for j in range(i + 1, n): if arr[j] == temp: c += 1 else: print(c) break. Constraints: 1 <= Time Complexity: O(N * log N), The algorithm used is divide and conquer i merge sort whose complexity is O(n log n). Space optimization of the above approach: To solve the problem follow the below idea: We can space optimize the above dp approach as for calculating the values of the current row we require only previous row. For example, given A = [1, 3, 6, 4, 1, 2], the function should return 5. Given an array of integers and a number k, write a function that returns true if the given array can be divided into pairs such that the sum of every pair is divisible by k. Find the K’th smallest element in the given array. Our frequency of element will be ' (last occ - first occ)+1' of a element in a array. We can perform either of the following operations once for each point[i] in point: 1. Make sure to iterate over the number of occurrences of those elements to avoid repeated combinations. We can consider only bits 1, The case N=2 is trivial, so assume we have at least 3 numbers Given a sorted array arr [] of size N and a number X, you need to find the number of occurrences of X in given array. Each time the sliding window moves right by one position. Example 1: Input: N = 5 arr[] = {1,2,3,4,5} Output: 6 Explanation: Smallest positive missing nu. Vinyl plank flooring is a durable choice for home flooring. The sum is 110 and no two elements are adjacent. length]; Then, in the loop, you can't assign a string to an element of the int array a. Given an array A [] and positive integer K, the task is to count the total number of pairs in the array whose sum is divisible by K. 18k gold rope chain In today’s digital era, accessing reliable and up-to-date information has become easier than ever before. The second line contains N space-separated. Long-Term investors may consider buying the dips In Array Technologies stock as it's a profitable high-growth company Array Technologies stock is a profitable high-growth company i. Given an integer 'K' and a row-wise sorted 2-D Matrix i the matrix has the following properties: Integers in each row are sorted from left to right. The next n lines each contain an integer, arr[i] The next line contains a single integer q, the size of query_values. Now , reverse the vector from 0 To N-K position and again reverse the vector from N-K to N. Therefore you should use a HashSet, which requires O(N) time to add N elements Besides, you don't need 4 loops. Jan 16, 2024 · Maximum subarray size, such that all subarrays of that size have a sum less than k: Given an array of n positive integers and a positive integer k, the task is to find the maximum subarray size such that all subarrays of that size have the sum of elements less than k. 2 We can improve the time complexity to O(n) using hashing. Given an integer S and an array arr [], the task is to find the minimum number of elements whose sum is S, such that any element of the array can be chosen any number of times to get sum S. Given an array arr[] consisting of N distinct integers and an integer K, the task is to find the maximum size of a subset possible such that no element in the subset is K times any other element of the subset(i no such pair {n, m} should be present in the subset such that either m = n * K or n = m * K). Finding three elements in an array whose sum is closest to an given number. You are also given an integer ‘K’.