The rows and the columns of an $n\times n$ chessboard are numbered $1$ to $n$, and a coin is placed on each field. The following game is played: A coin showing tails is selected. If it is in row $x$ and column $y$, then every coin with row number at least $x$ and a column […]

A checkerboard with $2^{n}\times 2^{n}$ squares from which one square has been removed can be covered exactly by “triominos”. Form is one square up with $2$ below them.

i know you have possibly seen my last problem on the 8 Queens conjecture, and it was answered by a person named Peter Kagey. he mentioned that: With regard to a $n×n×n$ chessboard, one could simply place $n$ queens at the “bottom board” of the cube, and use the $n*n$ configuration. This argument shows that […]

The knight’s tour problem is a famous problem in chess and computer science which asks the following question: can we move the knight on an $n \ \times \ n$ chessboard such that it visits every square exactly once? The answer is yes iff $n\geq5$. Additionally, there are algorithms which can solve it in $O(n^2)$ […]

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