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How to Solve Ways to Express an Integer as Sum of Powers Problem
Master the Ways to Express an Integer as Sum of Powers LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#2787
LeetCode ProblemWays to Express an Integer as Sum of Powers
Given two positive integers n and x. Return the number of ways n can be expressed as the sum of the xth power of unique positive integers, in other words, the number of sets of unique integers [n1, n2, ..., nk] where n = n1x + n2x + ... + nkx. Since the result can be very large, return it modulo 109 + 7. For example, if n = 160 and x = 3, one way to express n is n = 23 + 33 + 53.
Dynamic Programming
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Problem Breakdown
Understanding the Ways to Express an Integer as Sum of Powers Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
Given two positive integers n and x. Return the number of ways n can be expressed as the sum of the xth power of unique positive integers, in other words, the number of sets of unique integers [n1, n2, ..., nk] where n = n1x + n2x + ... + nkx. Since the result can be very large, return it modulo 109 + 7. For example, if n = 160 and x = 3, one way to express n is n = 23 + 33 + 53.
MediumProblem #2787
LeetCodeWays to Express an Integer as Sum of Powers
Related Topics
Dynamic Programming
How Phantom Code Helps
Get real-time assistance for Ways to Express an Integer as Sum of Powers problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 10, x = 2
Output
1
# Example 2
Input
n = 4, x = 1
Output
2
Constraints
1 <= n <= 300
1 <= x <= 5
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Solve Ways to Express an Integer as Sum of Powers — Given two positive integers n and x. Return the number of ways n can be expresse...
Here's the optimal approach using Dynamic Programming:
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 Ways to Express an Integer as Sum of Powers and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Ways to Express an Integer as Sum of Powers 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 Ways to Express an Integer as Sum of Powers?
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 Ways to Express an Integer as Sum of Powers?
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 Ways to Express an Integer as Sum of Powers 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 Ways to Express an Integer as Sum of Powers 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 Ways to Express an Integer as Sum of Powers 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 Ways to Express an Integer as Sum of Powers 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 Ways to Express an Integer as Sum of Powers 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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