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How to Solve Best Position for a Service Centre Problem
Master the Best Position for a Service Centre LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#1515
LeetCode ProblemBest Position for a Service Centre
A delivery company wants to build a new service center in a new city. The company knows the positions of all the customers in this city on a 2D-Map and wants to build the new center in a position such that the sum of the euclidean distances to all customers is minimum. Given an array positions where positions[i] = [xi, yi] is the position of the ith customer on the map, return the minimum sum of the euclidean distances to all customers. In other words, you need to choose the position of the service center [xcentre, ycentre] such that the following formula is minimized: Answers within 10-5 of the actual value will be accepted.
ArrayMathGeometryRandomized
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Problem Breakdown
Understanding the Best Position for a Service Centre Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
A delivery company wants to build a new service center in a new city. The company knows the positions of all the customers in this city on a 2D-Map and wants to build the new center in a position such that the sum of the euclidean distances to all customers is minimum. Given an array positions where positions[i] = [xi, yi] is the position of the ith customer on the map, return the minimum sum of the euclidean distances to all customers. In other words, you need to choose the position of the service center [xcentre, ycentre] such that the following formula is minimized: Answers within 10-5 of the actual value will be accepted.
HardProblem #1515
LeetCodeBest Position for a Service Centre
Related Topics
ArrayMathGeometryRandomized
How Phantom Code Helps
Get real-time assistance for Best Position for a Service Centre problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
positions = [[0,1],[1,0],[1,2],[2,1]]
Output
4.00000
# Example 2
Input
positions = [[1,1],[3,3]]
Output
2.82843
Constraints
1 <= positions.length <= 50
positions[i].length == 2
0 <= xi, yi <= 100
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Solve Best Position for a Service Centre — A delivery company wants to build a new service center in a new city. The compan...
Here's the optimal approach using Array:
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 Best Position for a Service Centre and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Best Position for a Service Centre 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 Best Position for a Service Centre?
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 Best Position for a Service Centre?
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 Best Position for a Service Centre 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 Best Position for a Service Centre 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 Best Position for a Service Centre 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 Best Position for a Service Centre 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 Best Position for a Service Centre 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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