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How to Solve Count the Number of Houses at a Certain Distance II Problem
Master the Count the Number of Houses at a Certain Distance II LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#3017
LeetCode ProblemCount the Number of Houses at a Certain Distance II
You are given three positive integers n, x, and y. In a city, there exist houses numbered 1 to n connected by n streets. There is a street connecting the house numbered i with the house numbered i + 1 for all 1 <= i <= n - 1 . An additional street connects the house numbered x with the house numbered y. For each k, such that 1 <= k <= n, you need to find the number of pairs of houses (house1, house2) such that the minimum number of streets that need to be traveled to reach house2 from house1 is k. Return a 1-indexed array result of length n where result[k] represents the total number of pairs of houses such that the minimum streets required to reach one house from the other is k. Note that x and y can be equal.
GraphPrefix Sum
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Problem Breakdown
Understanding the Count the Number of Houses at a Certain Distance II Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given three positive integers n, x, and y. In a city, there exist houses numbered 1 to n connected by n streets. There is a street connecting the house numbered i with the house numbered i + 1 for all 1 <= i <= n - 1 . An additional street connects the house numbered x with the house numbered y. For each k, such that 1 <= k <= n, you need to find the number of pairs of houses (house1, house2) such that the minimum number of streets that need to be traveled to reach house2 from house1 is k. Return a 1-indexed array result of length n where result[k] represents the total number of pairs of houses such that the minimum streets required to reach one house from the other is k. Note that x and y can be equal.
HardProblem #3017
LeetCodeCount the Number of Houses at a Certain Distance II
Related Topics
GraphPrefix Sum
How Phantom Code Helps
Get real-time assistance for Count the Number of Houses at a Certain Distance II problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 3, x = 1, y = 3
Output
[6,0,0]
# Example 2
Input
n = 5, x = 2, y = 4
Output
[10,8,2,0,0]
# Example 3
Input
n = 4, x = 1, y = 1
Output
[6,4,2,0]
Constraints
2 <= n <= 105
1 <= x, y <= n
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Solve Count the Number of Houses at a Certain Distance II — You are given three positive integers n, x, and y. In a city, there exist houses...
Here's the optimal approach using Graph:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Count the Number of Houses at a Certain Distance II and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Count the Number of Houses at a Certain Distance II 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 Count the Number of Houses at a Certain Distance II?
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 Count the Number of Houses at a Certain Distance II?
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 Count the Number of Houses at a Certain Distance II 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 Count the Number of Houses at a Certain Distance II 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 Count the Number of Houses at a Certain Distance II 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 Count the Number of Houses at a Certain Distance II 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 Count the Number of Houses at a Certain Distance II 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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