How to Solve New 21 Game Leetcode Problem - Interview Coder Guide
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How to Solve New 21 Game Problem

Master the New 21 Game LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Medium#867
LeetCode Problem

New 21 Game

Alice plays the following game, loosely based on the card game "21". Alice starts with 0 points and draws numbers while she has less than k points. During each draw, she gains an integer number of poi...

MathDynamic ProgrammingSliding Window+1 more

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Problem Breakdown

Understanding the New 21 Game Problem

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

Problem Statement

Alice plays the following game, loosely based on the card game "21". Alice starts with 0 points and draws numbers while she has less than k points. During each draw, she gains an integer number of points randomly from the range [1, maxPts], where maxPts is an integer. Each draw is independent and the outcomes have equal probabilities. Alice stops drawing numbers when she gets k or more points. Return the probability that Alice has n or fewer points. Answers within 10-5 of the actual answer are considered accepted.

MediumProblem #867
LeetCode

New 21 Game

Related Topics
MathDynamic ProgrammingSliding WindowProbability and Statistics
How Interview Coder Helps

Get real-time assistance for New 21 Game problems during coding interviews. Interview Coder provides instant solutions and explanations.

Examples

Example 1
INPUT
n = 10, k = 1, maxPts = 10
OUTPUT
1.00000
EXPLANATION

Alice gets a single card, then stops.

Example 2
INPUT
n = 6, k = 1, maxPts = 10
OUTPUT
0.60000
EXPLANATION

Alice gets a single card, then stops. In 6 out of 10 possibilities, she is at or below 6 points.

Example 3
INPUT
n = 21, k = 17, maxPts = 10
OUTPUT
0.73278

Constraints

0 <= k <= n <= 104
1 <= maxPts <= 104

How Interview Coder Helps with Leetcode Problems

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Platform Compatibility

Zoom
Supported
Google Meet
Supported
HackerRank
Supported
CodeSignal
Supported
CoderPad
Supported
Teams
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Frequently Asked Questions

Common questions about solving New 21 Game and using Interview Coder during coding interviews.

Interview Coder 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.

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