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Solve Coins and Game using JavaScript Language

Solve Coins and Game using JavaScript to enhance your skills with javascript coding practice , master coding concepts, and prepare for interviews with practical exercises and detailed solutions.

Coins and Game

Difficulty : Medium

Categories :

  • Backtracking

Given N coins and K people, each person can propose a distribution of coins. When a person proposes a distribution:

  • A vote occurs among all members
  • The proposer needs equal or more votes in favor to win
  • If proposer loses, they are eliminated and next person proposes
  • Each person wants maximum coins while ensuring they win the vote

Rules:

  • Proposals start from person 1
  • All people vote optimally knowing future possibilities
  • Tie in votes counts as a win for proposer

Constraints:

  • 1 ≤ N ≤ 109
  • 1 ≤ K ≤ 104
  • N ≥ K

Examples:

Input: N = 100, K = 2
Output: [100,0]
Explanation: Person 1 proposes all coins for themselves.
Votes will be 1-1 (tie), so they win.
Input: N = 100, K = 1
Output: [100]
Explanation: With only one person, they get all coins.

Problem Solving

Input

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Choose from the following categories

Strings A sequence of characters used to represent text, with problems focused on manipulation, searching, and pattern matching.

Arrays A collection of elements stored in contiguous memory locations, allowing efficient random access and manipulation.

Linked Lists A linear data structure where each element (node) points to the next, offering dynamic memory allocation and efficient insertions/deletions.

Trees A hierarchical data structure with nodes connected by edges, used in applications like databases, file systems, and parsing.

Graphs A collection of nodes (vertices) connected by edges, representing relationships, widely used in networking, routing, and social networks.

Dynamic Programming An optimization technique that solves problems by breaking them into overlapping subproblems and storing their results.

Backtracking A problem-solving method that explores all possibilities recursively, backtracking when a solution is not feasible.

Sorting Algorithms Techniques for arranging elements in a specific order, such as quicksort, mergesort, and bubble sort, essential for data organization.

Searching Algorithms Methods for finding elements in a dataset, such as binary search, linear search, and graph traversal techniques.

Mathematics A field of study involving numbers, calculations, and logical reasoning, forming the foundation for algorithms and problem-solving.

Recursion A programming technique where a function calls itself to solve smaller instances of the same problem, often used in divide-and-conquer approaches.

Bit Manipulation Operations performed directly on binary representations of data, used for efficient computations and optimization tasks.