Table of Contents

## Question

You are playing the following Nim Game with your friend:

- Initially, there is a heap of stones on the table.
- You and your friend will alternate taking turns, and
**you go first**. - On each turn, the person whose turn it is will remove 1 to 3 stones from the heap.
- The one who removes the last stone is the winner.

Given `n`

, the number of stones in the heap, return `true`

* if you can win the game assuming both you and your friend play optimally, otherwise return *`false`

.

**Example 1:**

Input:n = 4Output:falseExplanation:These are the possible outcomes: 1. You remove 1 stone. Your friend removes 3 stones, including the last stone. Your friend wins. 2. You remove 2 stones. Your friend removes 2 stones, including the last stone. Your friend wins. 3. You remove 3 stones. Your friend removes the last stone. Your friend wins. In all outcomes, your friend wins.

**Example 2:**

Input:n = 1Output:true

**Example 3:**

Input:n = 2Output:true

**Constraints:**

`1 <= n <= 2`

^{31}- 1

## Python Solution

class Solution: def canWinNim(self, n: int) -> bool: return bool(n%4)