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HomeLeetCode ProblemsMaximum Number of Darts Inside of a Circular Dartboard
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How to Solve Maximum Number of Darts Inside of a Circular Dartboard Problem

Master the Maximum Number of Darts Inside of a Circular Dartboard LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#1453
LeetCode Problem

Maximum Number of Darts Inside of a Circular Dartboard

Alice is throwing n darts on a very large wall. You are given an array darts where darts[i] = [xi, yi] is the position of the ith dart that Alice threw on the wall. Bob knows the positions of the n darts on the wall. He wants to place a dartboard of radius r on the wall so that the maximum number of darts that Alice throws lie on the dartboard. Given the integer r, return the maximum number of darts that can lie on the dartboard.

ArrayMathGeometry

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Problem Breakdown

Understanding the Maximum Number of Darts Inside of a Circular Dartboard Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

Alice is throwing n darts on a very large wall. You are given an array darts where darts[i] = [xi, yi] is the position of the ith dart that Alice threw on the wall. Bob knows the positions of the n darts on the wall. He wants to place a dartboard of radius r on the wall so that the maximum number of darts that Alice throws lie on the dartboard. Given the integer r, return the maximum number of darts that can lie on the dartboard.

HardProblem #1453
LeetCode

Maximum Number of Darts Inside of a Circular Dartboard

Related Topics

ArrayMathGeometry

How Phantom Code Helps

Get real-time assistance for Maximum Number of Darts Inside of a Circular Dartboard problems during coding interviews. Phantom Code provides instant solutions and explanations.

Examples

# Example 1

Input
darts = [[-2,0],[2,0],[0,2],[0,-2]], r = 2
Output
4

# Example 2

Input
darts = [[-3,0],[3,0],[2,6],[5,4],[0,9],[7,8]], r = 5
Output
5

Constraints

1 <= darts.length <= 100
darts[i].length == 2
-104 <= xi, yi <= 104
All the darts are unique
1 <= r <= 5000

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Solve Maximum Number of Darts Inside of a Circular Dartboard — Alice is throwing n darts on a very large wall. You are given an array darts whe...

Here's the optimal approach using Array:

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 of Darts Inside of a Circular Dartboard and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Maximum Number of Darts Inside of a Circular Dartboard 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 of Darts Inside of a Circular Dartboard?
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 of Darts Inside of a Circular Dartboard?
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 of Darts Inside of a Circular Dartboard 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 of Darts Inside of a Circular Dartboard 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 of Darts Inside of a Circular Dartboard 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 of Darts Inside of a Circular Dartboard 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 of Darts Inside of a Circular Dartboard 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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