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How to Solve Maximum Number That Sum of the Prices Is Less Than or Equal to K Problem
Master the Maximum Number That Sum of the Prices Is Less Than or Equal to K LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#3007
LeetCode ProblemMaximum Number That Sum of the Prices Is Less Than or Equal to K
You are given an integer k and an integer x. The price of a number num is calculated by the count of set bits at positions x, 2x, 3x, etc., in its binary representation, starting from the least significant bit. The following table contains examples of how price is calculated. The accumulated price of num is the total price of numbers from 1 to num. num is considered cheap if its accumulated price is less than or equal to k. Return the greatest cheap number.
Binary SearchDynamic ProgrammingBit Manipulation
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Problem Breakdown
Understanding the Maximum Number That Sum of the Prices Is Less Than or Equal to K Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer k and an integer x. The price of a number num is calculated by the count of set bits at positions x, 2x, 3x, etc., in its binary representation, starting from the least significant bit. The following table contains examples of how price is calculated. The accumulated price of num is the total price of numbers from 1 to num. num is considered cheap if its accumulated price is less than or equal to k. Return the greatest cheap number.
MediumProblem #3007
LeetCodeMaximum Number That Sum of the Prices Is Less Than or Equal to K
Related Topics
Binary SearchDynamic ProgrammingBit Manipulation
How Phantom Code Helps
Get real-time assistance for Maximum Number That Sum of the Prices Is Less Than or Equal to K problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
k = 9, x = 1
Output
6
# Example 2
Input
k = 7, x = 2
Output
9
Constraints
1 <= k <= 1015
1 <= x <= 8
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Solve Maximum Number That Sum of the Prices Is Less Than or Equal to K — You are given an integer k and an integer x. The price of a number num is calcul...
Here's the optimal approach using Binary Search:
def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Maximum Number That Sum of the Prices Is Less Than or Equal to K and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Maximum Number That Sum of the Prices Is Less Than or Equal to K during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Maximum Number That Sum of the Prices Is Less Than or Equal to K?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Maximum Number That Sum of the Prices Is Less Than or Equal to K?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Maximum Number That Sum of the Prices Is Less Than or Equal to K type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Maximum Number That Sum of the Prices Is Less Than or Equal to K interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Maximum Number That Sum of the Prices Is Less Than or Equal to K during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Maximum Number That Sum of the Prices Is Less Than or Equal to K style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Maximum Number That Sum of the Prices Is Less Than or Equal to K interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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