You are given a 0-indexed integer array nums and an integer k. You have a starting score of 0.In one operation:choose an index i such that 0 <= i < nums.length,increase your score by nums[i], andreplace nums[i] with ceil(nums[i] / 3).Return the maximum possible score you can attain after applying exactly k operations.
Question
You are given a 0-indexed integer array nums and an integer k. You have a starting score of 0.In one operation:choose an index i such that 0 <= i < nums.length,increase your score by nums[i], andreplace nums[i] with ceil(nums[i] / 3).Return the maximum possible score you can attain after applying exactly k operations.
Solution
This problem can be solved using a priority queue in Python. Here is a step-by-step solution:
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Import the heapq library in Python which provides an implementation of the heap queue algorithm, also known as the priority queue algorithm.
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Initialize your score to 0.
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Convert all numbers in the array to their negative values and push them into a heap. The reason for this is that Python's heapq library only creates min-heaps, but we want a max-heap to solve this problem. By converting all numbers to their negative counterparts, the largest number will come out first when we pop the heap.
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Perform the operation k times. In each operation, pop the maximum number from the heap,
Similar Questions
Given an array of integers called nums, you can perform the following operation while nums contains at least 2 elements:Choose the first two elements of nums and delete them.The score of the operation is the sum of the deleted elements.Your task is to find the maximum number of operations that can be performed, such that all operations have the same score.Return the maximum number of operations possible that satisfy the condition mentioned above.
Imagine a sports event where participants are ranked based on their performance, and medals are awarded to the best athletes. In this scenario, you have an array of athletes' performance scores and you want to identify the kth largest score among all the scores.ExampleInput:N = 5, scores = {3, 5, 1, 2, 4}k = 1Output:5Explanation: The 1st largest score in the provided scores {3, 5, 1, 2, 4} is 5.Input format :The first line of input consists of an integer N, representing the number of athletesThe second line consists of N space-separated integers, representing the athlete scores.The third line consists of an integer k.Output format :The output prints the kth largest score.Refer to the sample output for formatting specifications.Code constraints :1 ≤ N ≤ 201 ≤ scores ≤ 100Sample test cases :Input 1 :53 5 1 2 41Output 1 :5Input 2 :610 20 30 40 50 604Output 2 :30
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Starting with a 1-indexed array of zeros and a list of operations, for each operation add a value to each the array element between two given indices, inclusive. Once all operations have been performed, return the maximum value in the array.ExampleQueries are interpreted as follows: a b k 1 5 3 4 8 7 6 9 1Add the values of between the indices and inclusive:index-> 1 2 3 4 5 6 7 8 9 10 [0,0,0, 0, 0,0,0,0,0, 0] [3,3,3, 3, 3,0,0,0,0, 0] [3,3,3,10,10,7,7,7,0, 0] [3,3,3,10,10,8,8,8,1, 0]The largest value is after all operations are performed.Function DescriptionComplete the function arrayManipulation in the editor below.arrayManipulation has the following parameters:int n - the number of elements in the arrayint queries[q][3] - a two dimensional array of queries where each queries[i] contains three integers, a, b, and k.Returnsint - the maximum value in the resultant arrayInput FormatThe first line contains two space-separated integers and , the size of the array and the number of operations.Each of the next lines contains three space-separated integers , and , the left index, right index and summand.ConstraintsSample Input5 31 2 1002 5 1003 4 100Sample Output200ExplanationAfter the first update the list is 100 100 0 0 0.After the second update list is 100 200 100 100 100.After the third update list is 100 200 200 200 100.The maximum value is .
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