Is Guess the Number Using Bitwise Questions I easy or hard?

The problem is rated Medium but conceptually straightforward once you recognize that each query can reveal one bit of the hidden number. Candidates familiar with bit masking and interactive patterns usually solve it quickly.

Guess the Number Using Bitwise Questions I Python/Java solution

The implementation loops through bit positions and sends a query using a single-bit mask. If the judge response indicates the bit exists, update the answer using ans |= (1 << i). The same logic works across Python, Java, C++, Go, and TypeScript because bitwise operations behave consistently across these languages.

How to solve Guess the Number Using Bitwise Questions I in O(B)?

Iterate through every bit position from 0 to the maximum possible bit. For each position, send a query with a mask containing only that bit (1 << i). If the response indicates the hidden number contributes to that bit, set the bit in the answer using bitwise OR. After processing all bits, the constructed value equals the hidden number.

What is the best approach for Guess the Number Using Bitwise Questions I?

Bit-by-bit enumeration using bit masks is the optimal strategy. Query the judge with a mask such as 1 << i to determine whether the hidden number contains that bit. Repeat for all bit positions and combine the discovered bits to reconstruct the final value. This minimizes the number of queries and leverages binary representation directly.

Is Guess the Number Using Bitwise Questions I asked at Google/Amazon/Meta?

Problems involving bit reconstruction and interactive queries appear frequently in interviews at companies like Google and Meta. While the exact problem ID may not be asked directly, the underlying concepts—bit masking, minimizing queries, and reasoning about binary representations—are common interview themes.

What data structure is used in Guess the Number Using Bitwise Questions I?

The solution mainly relies on bitwise operations rather than complex data structures. Integer variables and bit masks are used to probe and reconstruct each bit of the hidden number. Operations such as shift, AND, and OR form the core of the algorithm.

What is the time complexity of Guess the Number Using Bitwise Questions I?

The optimal solution runs in O(B) queries where B is the number of bits in the integer (typically up to 30 or 31 for standard constraints). Each query determines the value of one bit. Space complexity remains O(1) because only the reconstructed number and loop variables are stored.

Description Hints 2 Solution Video 6:13

3064. Guess the Number Using Bitwise Questions I

Q: How to solve Guess the Number Using Bitwise Questions I in O(B)?

Iterate through every bit position from 0 to the maximum possible bit. For each position, send a query with a mask containing only that bit (1 << i). If the response indicates the hidden number contributes to that bit, set the bit in the answer using bitwise OR. After processing all bits, the constructed value equals the hidden number.

Q: What is the best approach for Guess the Number Using Bitwise Questions I?

Bit-by-bit enumeration using bit masks is the optimal strategy. Query the judge with a mask such as 1 << i to determine whether the hidden number contains that bit. Repeat for all bit positions and combine the discovered bits to reconstruct the final value. This minimizes the number of queries and leverages binary representation directly.

Q: Is Guess the Number Using Bitwise Questions I asked at Google/Amazon/Meta?

Problems involving bit reconstruction and interactive queries appear frequently in interviews at companies like Google and Meta. While the exact problem ID may not be asked directly, the underlying concepts—bit masking, minimizing queries, and reasoning about binary representations—are common interview themes.

Q: What data structure is used in Guess the Number Using Bitwise Questions I?

The solution mainly relies on bitwise operations rather than complex data structures. Integer variables and bit masks are used to probe and reconstruct each bit of the hidden number. Operations such as shift, AND, and OR form the core of the algorithm.

Q: What is the time complexity of Guess the Number Using Bitwise Questions I?

The optimal solution runs in O(B) queries where B is the number of bits in the integer (typically up to 30 or 31 for standard constraints). Each query determines the value of one bit. Space complexity remains O(1) because only the reconstructed number and loop variables are stored.

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There is a number n that you have to find.

There is also a pre-defined API int commonSetBits(int num), which returns the number of bits where both n and num are 1 in that position of their binary representation. In other words, it returns the number of set bits in n & num, where & is the bitwise AND operator.

Return the number n.

Example 1:

Input: n = 31

Output: 31

Explanation: It can be proven that it's possible to find 31 using the provided API.

Example 2:

Input: n = 33

Output: 33

Explanation: It can be proven that it's possible to find 33 using the provided API.

Constraints:

1 <= n <= 2³⁰ - 1
0 <= num <= 2³⁰ - 1
If you ask for some num out of the given range, the output wouldn't be reliable.

Topics

Bit Manipulation Interactive

Hints open one at a time

Hint 1

Ask 2ⁱ for 0 <= i < 30.

Hint 2

If the result is greater than zero for some i, this bit is a set bit in n.

6:13

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