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Chess

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

Level 2 Abstract

What is the maximum number of bishops on a \( 8 \times 8 \) chessboard, so that they cannot attack each other?

A new piece in chess has been introduced. Instead of being like the knight, which moves two spaces horizontally and one space vertically or two spaces vertically and one space horizontally, the new piece moves three spaces horizontally and one space vertically or three spaces vertically and one space horizontally.

The piece is now on the square labelled "A". What is the least number of moves it needs to have to get to the square labelled "B"?

What is the maximum number of pawns that can be placed on an \(8\times 8\) chessboard such that each row, each column, and each long diagonal contains at most 4 pawns?

True or false:

There are more possible games of chess than there are atoms in the earth.

For reference, there are approximately \(10^{50} \) atoms in the earth

Two opposite corners are detached from the chess

Is it possible to make a path for a knight such that it visited all of the square once and only once? If yes, how many ways are there?

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