Maximum Frequency of an Element After Performing Operations II
Maximum Frequency of an Element After Performing Operations II is a Hard Data Structures and Algorithms interview problem you can solve, run and submit on Thita.ai. It belongs to the Sliding Window pattern, in the Variable Size (Condition-Based) subpattern.
Problem statement
You are given an integer array nums and two integers k and numOperations.
You must perform an operation numOperations times on nums, where in each operation you:
- Select an index i that was not selected in any previous operations.
- Add an integer in the range [-k, k] to nums[i].
Return the maximum possible frequency of any element in nums after performing the operations.
Example 1:
Input: nums = [1,4,5], k = 1, numOperations = 2
Output: 2
Explanation:
We can achieve a maximum frequency of two by:
- Adding 0 to nums[1], after which nums becomes [1, 4, 5].
- Adding -1 to nums[2], after which nums becomes [1, 4, 4].
Example 2:
Input: nums = [5,11,20,20], k = 5, numOperations = 1
Output: 2
Explanation:
We can achieve a maximum frequency of two by:
- Adding 0 to nums[1].
Constraints:
- 1 <= nums.length <= 105
- 1 <= nums[i] <= 109
- 0 <= k <= 109
- 0 <= numOperations <= nums.length
Topics and companies
Topics: Array, Binary Search, Sliding Window, Sorting, Prefix Sum.
How to practise Maximum Frequency of an Element After Performing Operations II on Thita.ai
Starter code is provided in C, C#, C++, Go, Java, JavaScript and Python. Your solution runs against 5 test cases for this problem, with the AI coach available for a hint when you are stuck rather than a finished answer. The reference solution runs in O(nlogn) time and O(n) space.
Open Maximum Frequency of an Element After Performing Operations II in the code editor, or read the Maximum Frequency of an Element After Performing Operations II editorial for a worked solution with its approach and complexity analysis.
Where Maximum Frequency of an Element After Performing Operations II sits in the DSA pattern sheet
- Sliding Window pattern guide
- Variable Size (Condition-Based) subpattern
- The full DSA patterns sheet
- All coding practice problems
Problems related to Maximum Frequency of an Element After Performing Operations II
Other problems that use the same Variable Size (Condition-Based) and Sliding Window techniques:
- Contains Duplicate II — Easy, same subpattern
- Continuous Subarrays — Medium, same subpattern
- Find Longest Special Substring That Occurs Thrice I — Medium, same subpattern
- Frequency of the Most Frequent Element — Medium, same subpattern
- Fruit Into Baskets — Medium, same subpattern
- Longest Continuous Subarray With Absolute Diff Less Than or Equal to Limit — Medium, same subpattern