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Leetcode #2917: Find the K-or of an Array

In this guide, we solve Leetcode #2917 Find the K-or of an Array in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

You are given an integer array nums, and an integer k. Let's introduce K-or operation by extending the standard bitwise OR.

Quick Facts

  • Difficulty: Easy
  • Premium: No
  • Tags: Bit Manipulation, Array

Intuition

The problem structure lets us track state with bitwise operations.

Bit operations are constant time and avoid extra memory.

Approach

Apply XOR/AND/OR and shifts to maintain the required invariant.

Aggregate the result in a single pass.

Steps:

  • Identify a bitwise invariant.
  • Combine values with bit operations.
  • Return the aggregated result.

Python Solution

class Solution: def findKOr(self, nums: List[int], k: int) -> int: ans = 0 for i in range(32): cnt = sum(x >> i & 1 for x in nums) if cnt >= k: ans |= 1 << i return ans

Complexity

The time complexity is O(n×log⁡M)O(n \times \log M)O(n×logM), where nnn and MMM are the length of the array numsnumsnums and the maximum value in numsnumsnums, respectively. The space complexity is O(1)O(1)O(1).

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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