Solution: Nim Game
Understand how to solve the Nim Game by applying game theory and modulo arithmetic. This lesson teaches you to identify winning positions by checking if the number of stones is divisible by four, enabling you to predict the outcome assuming optimal play from both players.
We'll cover the following...
We'll cover the following...
Statement
You and a friend are playing a game called the Nim Game with a heap of stones. The rules are as follows:
There is a single heap containing
nstones.You and your friend take alternating turns, with you going first.
On each turn, the current player must remove between
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