Take- Away game 1

Logic Level 4

Here are the rules of a very simple game of removing chips from a pile of chips.

  1. There are two players. We label them I and II.
  2. There is a pile of 186 chips in the center of a table.
  3. A move consists of removing one, two, or three chips from the pile. At least one chip must be removed, but no more than three may be removed.
  4. Players alternate moves with Player I starting.
  5. The player that removes the last chip wins. (The last player to move wins. If you can’t move, you lose.)

If you were player I what is the least number of moves it will take you to win the game?

Assume the two players are extremely intelligent and don't play with luck.


Problem Loading...

Note Loading...

Set Loading...