LeetCode 3064: Guess the Number Using Bitwise Questions I Solution

Master LeetCode problem 3064 (Guess the Number Using Bitwise Questions I), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

3064. Guess the Number Using Bitwise Questions I

Medium

Bit Manipulation Interactive

Problem Explanation

Explanation:

This problem involves guessing a hidden number between 1 and n using bitwise questions. The objective is to minimize the number of questions needed to determine the hidden number.

We can approach this problem by iteratively asking questions about the hidden number's binary representation. By using bitwise operations, we can efficiently infer the bits of the hidden number.

Here's the step-by-step algorithm:

Initialize a variable result to 0.
For each bit position from 0 to the maximum number of bits needed to represent numbers up to n:
- Set a mask with only the current bit position set to 1 (e.g., 1 << i in binary representation).
- Ask a question to determine if the hidden number's corresponding bit is set (1) or not (0) by performing a bitwise AND operation with the mask.
- If the bit is set, update the result by setting the bit at the current position to 1.
Return the final result as the guessed hidden number.

By iteratively querying the binary representation of the hidden number, we can guess the number efficiently.

Time complexity: O(log n) - We make log n queries to determine the hidden number. Space complexity: O(1) - We use a constant amount of extra space.

Solution Code

class Solution {
    public int guessNumber(int n) {
        int result = 0;
        for (int i = 0; i < 32; i++) {
            int mask = 1 << i;
            if ((mask & guess(i)) != 0) {
                result |= mask;
            }
        }
        return result;
    }

    private int guess(int bit) {
        // Implement a function to ask a bitwise question on the bit position 'bit'
        return 0; // Placeholder, actual implementation depends on the problem
    }
}

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