## How do you always win in the game of Nim?

To win at Nim-game, always make a move, whenever possible, that leaves a configuration with a ZERO “Nim sum”, that is with ZERO unpaired multiple(s) of 4, 2 or 1. Otherwise, your opponent has the advantage, and you have to depend on his/her committing an error in order to win.

**Does it matter who goes first in Nim?**

Theorem. In a normal Nim game, the player making the first move has a winning strategy if and only if the nim-sum of the sizes of the heaps is not zero. Otherwise, the second player has a winning strategy.

**How do you win the game 21 counting?**

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”.

### How do you beat Wythoff’s game?

Players take turns removing counters from one or both piles; when removing counters from both piles, the numbers of counters removed from each pile must be equal. The game ends when one player removes the last counter or counters, thus winning.

**What is the trick in 21 dares?**

Let the person who said “21” choose truth, dare, or situation. Present the player forced to say “21” with three options: Truth, Dare, or Situation. If they pick truth, ask them a question which they must answer truthfully.

**Is Nim better than Python?**

As opposed to Python’s speed, Nim’s execution is fast. Much faster than Python’s. A good way to explore the performance capabilities of programming languages is towards the execution of benchmark tests. There are tons of benchmarks available for Python.

#### What is game theory in coding?

The specialty of Combinatorial Game Theory (CGT) is that the coding part is relatively very small and easy. The key to the Game Theory problems is that hidden observation, which can be sometimes very hard to find. Chess, Game of Nim, Tic-Tac-Toe all comes under the category of Combinatorial Game Theory.