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Topic Tags: Dynamic Programming,Recursion,Backtracking,Algorithms
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| [Go To Problem](https://www.geeksforgeeks.org/problems/divisor-game-1664432414/1) | ||
| # Construct Binary Tree from Inorder and Postorder | ||
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| <div align="center"> | ||
| <strong>Easy</strong> | ||
| </div> | ||
| <div align="center"> | ||
| <strong>Accuracy :70.69%</strong> | ||
| <strong>Points: 2</strong> | ||
| </div> | ||
| Alice and Bob take turns playing a game, with Alice starting first. | ||
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| Initially, there is a number n on the chalkboard. On each player's turn, that player makes a move consisting of: | ||
| <li> Choosing any <strong>x</strong> with <strong>0 < x < n </strong> and <strong> n % x == 0. </strong> | ||
| </li> | ||
| <li>Replacing the number <strong>n</strong> on the chalkboard with <strong>n - x.</strong></li> | ||
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| Also, if a player cannot make a move, they lose the game. | ||
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| Return **true** if and only if Alice wins the game, assuming both players play **optimally.** | ||
| ### 💡Example 1: | ||
| <pre> | ||
| <strong>Input:</strong> | ||
| n = 2 | ||
| <strong>Output:</strong> | ||
| True | ||
| <strong>Explanation:</strong> | ||
| Alice chooses 1, and Bob has no more moves. | ||
| </pre> | ||
| ### 💡Example 2: | ||
| <pre> | ||
| <strong>Input:</strong> | ||
| n = 3 | ||
| <strong>Output:</strong> | ||
| False | ||
| <strong>Explanation:</strong> | ||
| Alice chooses 1, Bob chooses 1, and Alice has no more moves. | ||
| </pre> | ||
| ## Your Task: | ||
| - You don't need to read input or print anything. Your task is to complete the function **divisorGame()** which takes an integer **n** as a parameter and returns true if Alice wins the game. | ||
| ## Expected Time Complexity: | ||
| ```O(1)``` | ||
| ## Expected Space Complexity: | ||
| ```O(1)``` | ||
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| ## Constraints: | ||
| 1 ≤ n ≤ 10<sup>3</sup> | ||
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| ## Topic Tags: | ||
| <p align="left"> | ||
| <a href="https://www.geeksforgeeks.org/explore/?category[]=Dynamic%20Programming"><img src="https://img.shields.io/badge/Dynamic%20Programming-258FFA?style=flat&logo=Dynamic%20Programming&logoColor=FF&labelColor=43822C&color=43822C" /></a> | ||
| <a href="https://www.geeksforgeeks.org/explore/?category[]=Recursion"><img src="https://img.shields.io/badge/Recursion-100000?style=flat&logo=Recursion&logoColor=F7F7F7&labelcolor=2A79D7&color=2A79D7" /></a> | ||
| <a href="https://www.geeksforgeeks.org/explore/?category[]=Backtracking"><img src="https://img.shields.io/badge/Backtracking-100000?style=flat&logo=Backtracking&logoColor=F7F7F7&labelcolor=7E3BE4&color=7E3BE4" /></a> | ||
| <a href="https://www.geeksforgeeks.org/explore/?category[]=Algorithms"><img src="https://img.shields.io/badge/Algorithms-100000?style=flat&logo=Algorithms&logoColor=F7F7F7&labelcolor=0422FB&color=0422FB" /></a> | ||
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| ## Codes: | ||
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| - [C++ Code](https://github.com/HackResist/GeeksForGeeks-POTD/blob/main/09-05-2024/Divisor%20Game.cpp) | ||
| - [Java Code](https://github.com/HackResist/GeeksForGeeks-POTD/blob/main/09-05-2024/Divisor%20Game.java) | ||
| - [Python Code](https://github.com/HackResist/GeeksForGeeks-POTD/blob/main/09-05-2024/Divisor%20Game.py) | ||
| - [C # Code](https://github.com/HackResist/GeeksForGeeks-POTD/blob/main/09-05-2024/Divisor%20Game.cs) | ||
| - [Javascript Code](https://github.com/HackResist/GeeksForGeeks-POTD/blob/main/09-05-2024/Divisor%20Game.js) | ||
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