Sign up to access problem solutions.

Already have an account? Log in here.

Chess is no joke: it has more possible sequences of moves than the number of atoms in the observable universe, but working through chess puzzles is a great way to gain insightful strategies. See more

Above is a \(3\times3\) board with 4 knights, two white knights and two black knights. As in a standard game of chess, the knight can move only two steps in the horizontal or vertical direction and then one step in the other direction for one move. Define an **action** as moving a knight of any color.

The objective of the game is to interchange the position of both the black and white knights while alternately moving a knight of different color. The final state of the board is:

What is the minimum number of **actions** required to complete the game?

Sign up to access problem solutions.

Already have an account? Log in here.

Sign up to access problem solutions.

Already have an account? Log in here.

Suppose you are given a normal 8 X 8 chessboard and hundreds of spare green-colored knight pieces lying about. If any knight is able to capture any other knight, find the highest number of knights, you can place on the board in non-attacking positions.

Sign up to access problem solutions.

Already have an account? Log in here.

A white pawn had been accidentally knocked off the board. Neither player could remember for sure on which square it stood. If neither king has yet moved, where is the pawn?

Sign up to access problem solutions.

Already have an account? Log in here.

Sign up to access problem solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...