Find the K-or of an Array

Problem Description

You are given an integer array nums, and an integer k. Let's introduce K-or operation by extending the standard bitwise OR. In K-or, a bit position in the result is set to 1 if at least k numbers in nums have a 1 in that position. Return the K-or of nums.

Key Insights

• A bit will be set in the result if at least k elements in the array have that bit set.
• We can iterate through each bit position (up to 31 for 32-bit integers) and count how many integers have that bit set.
• If the count for a bit position is greater than or equal to k, we set that bit in the result.

Space and Time Complexity

Time Complexity: O(32 * n) = O(n), where n is the length of the input array nums.
Space Complexity: O(1) for the result variable.

Solution

To solve this problem, we will use a bit manipulation approach. For each bit position from 0 to 31, we will count how many numbers in the array have that particular bit set. If the count is at least k, we will set that bit in our result.

1. Initialize a result variable to 0.
2. For each bit position from 0 to 31:
   • Count how many numbers in nums have that bit set.
   • If the count is greater than or equal to k, set that bit in the result variable using a bitwise OR.
3. Finally, return the result.

Code Solutions