There are three piles of rocks: in the first pile there are 10 rocks, 15 in the second pile and 20 in the third pile. In this game (with two players), in one turn a player is allowed to divide one of the piles into two smaller piles. The loser is the one who cannot make a move. Which player would be the winner?
Anna has
A knight in chess moves in an “L” pattern – two squares in one direction and one square in a perpendicular direction. Starting with a knight in the bottom right corner of a regular
Nine lightbulbs are arranged in a
Anna’s sister, Claire, has
All the squares of a
a) A rook in chess can move any number of squares in the same row or column. Let’s invent a new figure, a “little rook” that can only move one square in each of these directions. If we start with a “little rook” in the bottom right corner of an
b) A king in chess moves like the “little rook”, but he can also move one square along a diagonal. Can we do the same task with a king?
There are
Are there such integer numbers
There are numbers