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How to Solve Number of Sets of K Non-Overlapping Line Segments Problem
Master the Number of Sets of K Non-Overlapping Line Segments LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#1621
LeetCode ProblemNumber of Sets of K Non-Overlapping Line Segments
Given n points on a 1-D plane, where the ith point (from 0 to n-1) is at x = i, find the number of ways we can draw exactly k non-overlapping line segments such that each segment covers two or more points. The endpoints of each segment must have integral coordinates. The k line segments do not have to cover all n points, and they are allowed to share endpoints. Return the number of ways we can draw k non-overlapping line segments. Since this number can be huge, return it modulo 109 + 7.
MathDynamic ProgrammingCombinatorics
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Problem Breakdown
Understanding the Number of Sets of K Non-Overlapping Line Segments Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
Given n points on a 1-D plane, where the ith point (from 0 to n-1) is at x = i, find the number of ways we can draw exactly k non-overlapping line segments such that each segment covers two or more points. The endpoints of each segment must have integral coordinates. The k line segments do not have to cover all n points, and they are allowed to share endpoints. Return the number of ways we can draw k non-overlapping line segments. Since this number can be huge, return it modulo 109 + 7.
MediumProblem #1621
LeetCodeNumber of Sets of K Non-Overlapping Line Segments
Related Topics
MathDynamic ProgrammingCombinatorics
How Phantom Code Helps
Get real-time assistance for Number of Sets of K Non-Overlapping Line Segments problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 4, k = 2
Output
5
# Example 2
Input
n = 3, k = 1
Output
3
# Example 3
Input
n = 30, k = 7
Output
796297179
Constraints
2 <= n <= 1000
1 <= k <= n-1
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Solve Number of Sets of K Non-Overlapping Line Segments — Given n points on a 1-D plane, where the ith point (from 0 to n-1) is at x = i, ...
Here's the optimal approach using Math:
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 Number of Sets of K Non-Overlapping Line Segments and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Number of Sets of K Non-Overlapping Line Segments 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 Number of Sets of K Non-Overlapping Line Segments?
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 Number of Sets of K Non-Overlapping Line Segments?
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 Number of Sets of K Non-Overlapping Line Segments 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 Number of Sets of K Non-Overlapping Line Segments 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 Number of Sets of K Non-Overlapping Line Segments 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 Number of Sets of K Non-Overlapping Line Segments 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 Number of Sets of K Non-Overlapping Line Segments 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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