LeetCode 3314 | Construct the Minimum Bitwise Array I | Bitwise OR Explained

LeetCode Problem of the Day: 3314 – Construct the Minimum Bitwise Array I
Difficulty: Easy
Language Used: C++

In this video, we solve LeetCode 3314, a problem based on bitwise operations and number properties.

You are given an array of prime numbers.
For each element, you need to construct the smallest possible value such that:
ans[i] OR (ans[i] + 1) equals nums[i].

If no such value exists, the answer for that index is -1.

Key Insight:
For two consecutive numbers x and x + 1, the bitwise OR fills all bits from the lowest zero bit of x onwards.
Using this property, we can determine the minimum valid value or conclude that it is impossible.

Approach:
- For each number in the array, check if it is possible to form using OR of two consecutive integers
- Find the smallest valid ans[i] that satisfies the condition
- Return -1 when no such value exists

Concepts Used:
- Bitwise OR
- Binary representation
- Greedy minimization
- Bit manipulation tricks

Time Complexity: O(n)
Space Complexity: O(1)

This problem is great for understanding bitwise logic and improving problem-solving skills for coding interviews.

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