---
title: "Discussion on \"Impartial Combinatorics in a Bowling Puzzle\" | Hashnode"
description: "Discussion on \"Impartial Combinatorics in a Bowling Puzzle\". Puzzle\nI came across a game theory problem https://www.hackerrank.com/challenges/bowling-pins/problem where one has to find whether the game can be won, given a starting position. There are some constraints:\n\nBoth players will play optimally\n\nThe gam..."
url: "https://hashnode.com/posts/impartial-combinatorics-in-a-bowling-puzzle/6844247e86a3ec8f8222832b"
---

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# [Impartial Combinatorics in a Bowling Puzzle](https://searidges.hashnode.dev/impartial-combinatorics-in-a-bowling-puzzle?utm_source=hashnode&utm_medium=feed)

Puzzle I came across a game theory problem https://www.hackerrank.com/challenges/bowling-pins/problem where one has to find whether the game can be won, given a starting position. There are some constraints: Both players will play optimally The gam...

Jun 7, 2025 · 3 min read · searidges.hashnode.dev  
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-   [#impartialcombinatorics](https://hashnode.com/tag/impartialcombinatorics)
-   [#game-theory](https://hashnode.com/tag/game-theory)
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-   [#puzzle](https://hashnode.com/tag/puzzle)

## Written by

[Manas Sivakumar](https://hashnode.com/@SeaCloudRidges)

@SeaCloudRidges · Bangalore, Karnataka

  
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