702925. Remove minimum elements
Medium
Here is the generated Markdown blog post:
Remove Minimum Elements
Slug: remove-minimum-elements4612
Difficulty: Medium
Id: 702925
Topic Tags: Arrays, Data Structures
Company Tags: Amazon
Summary
Given an array of integers and a positive integer k, the task is to find and remove all elements that are equal to the minimum value in each subarray of size k. The array should be modified such that it does not contain any duplicate values.
Detailed Explanation
To solve this problem, we can iterate through the array with a sliding window of size k. For each window, we find the minimum element and remove all occurrences of this element from the original array. We continue this process until the end of the array is reached.
Here's a step-by-step breakdown of the solution:
- Initialize an empty array
resultto store the modified elements. - Iterate through the input array with a sliding window of size
k. - For each window, find the minimum element using a simple loop or a more efficient data structure like a min-heap.
- Remove all occurrences of the minimum element from the original array.
- Add the modified elements to the
resultarray. - Repeat steps 2-5 until the end of the array is reached.
- Return the modified
resultarray.
Time complexity: O(n), where n is the length of the input array.
Space complexity: O(n), as we need to store the modified elements in the result array.
Optimized Solutions
Java
public int[] removeMinimumElements(int[] arr, int k) {
int resultSize = 0;
for (int i = 0; i < arr.length; i++) {
if (i >= k - 1) {
int min = Arrays.stream(arr).min().getAsInt();
while (arr[i] == min) {
arr = Arrays.copyOfRange(arr, 0, i);
resultSize++;
i--;
}
}
}
return Arrays.copyOfRange(arr, 0, arr.length - resultSize);
}