## Is there a winning strategy for Nim?

Table of Contents

In ordinary Nim one forms the XOR-sum (or sum modulo 2) of each binary digit, and the winning strategy is to make each XOR sum zero. In the generalization to index-k Nim, one forms the sum of each binary digit modulo k + 1. Again the winning strategy is to move such that this sum is zero for every digit.

## How do you calculate Nim Sum?

Nim-Sum : The cumulative XOR value of the number of coins/stones in each piles/heaps at any point of the game is called Nim-Sum at that point. â€œIf both A and B play optimally (i.e- they don’t make any mistakes), then the player starting first is guaranteed to win if the Nim-Sum at the beginning of the game is non-zero.

**How do you play Nim?**

To play Nim, one player sets up a number of piles of blocks, and the opponent chooses whether to go first or second. The players take turns removing blocks â€” each player may remove any number of blocks (at least one) from any one pile, and it is fine to take a whole pile â€” whichever player takes the last block wins.

**Who invented Nim?**

Nim (programming language)

Paradigms | Multi-paradigm: compiled, concurrent, procedural, imperative, functional, object-oriented, meta |

Designed by | Andreas Rumpf |

Developer | Nim Lang Team |

First appeared | 2008 |

Influenced by |
---|

### How do you win first at 21?

For the counting to 21 game, since the lowest winning number is 1, it is best to go first and say “1”. For the counting to 22 game, the winning numbers are those numbers that have a remainder of 2 when they are divided by four. It is best to go first and say “1, 2”.

### What is meant by Nim?

Definition: Net interest margin or NIM denotes the difference between the interest income earned and the interest paid by a bank or financial institution relative to its interest-earning assets like cash.

**What does Nim mean finance?**

Net interest margin

Net interest margin (NIM) reveals the amount of money that a bank is earning in interest on loans compared to the amount it is paying in interest on deposits. NIM is one indicator of a bank’s profitability and growth.

**Can you win Nim Leetcode?**

You can always win a Nim game if the number of stones n n n in the pile is not divisible by 4 4 4. Let us think of the small cases. It is clear that if there are only one, two, or three stones in the pile, and it is your turn, you can win the game by taking all of them.

## Who invented Nim game?

Many sources claim that Nim possibly originated in China. It was played with pieces of paper, coins or whatever objects they could find. Charles Bouton, a professor at Harvard University, gave Nim its’ name around 1901. He named it after an archaic English word meaning to steal or to take away.

## What is a .Nim file?

Source code file written in Nim, (formerly known as Nimrod) a compiled, statically typed programming language; can be opened with any text editor but must be compiled using the Nim compiler before running as a program.

**Why is Nim not popular?**

On the other hand, successful languages usually have 2 things that Nim is currently lacking : No big-name organization (Rust has Mozilla, Go/Dart have Google) means people are not sure they can trust the language or its stability over time. No “killer-app” to showcase what you can do.