### Have You Got It?

Can you explain the strategy for winning this game with any target?

### Nim

Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The loser is the player who takes the last counter.

### FEMTO

A new card game for two players.

# Nim-interactive

##### Age 11 to 16 Challenge Level:

This is a game of skill for two players. The rules are simple. Start with any number of counters in any number of piles. Two players take turns to remove any number of counters from a single pile. The winner is the player who takes the last counter.

Can you beat the computer? You can choose the number of piles and whether to go first or to let the computer start. Can you find the winning strategy?

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Both players have exactly the same information, chance plays no part, and each game must end. There is a 'winning strategy' and all the moves can be analysed mathematically. The only advantage that either player can possibly have is to start or to play second. To work out how to win you need to start by analysing the 'end game', and the losing position to be avoided, and then work back to earlier moves.