Pile of gold coins

Logic Level 4

You play a game with a pile of \(N\) gold coins.

You and a friend take turns removing 1, 3, or 6 coins from the pile.

The winner is the one who takes the last coin.

For the person that goes first, how many winning strategies are there for \(N < 1000\)?

Clarification: For \(1 \leq N \leq 999\), for how many values of \(N\) can the first player develop a winning strategy?


Problem Loading...

Note Loading...

Set Loading...