Backtracking using the checkers problem as an example

Backtracking using the checkers problem as an example

In chess, the queen is the only piece that can move freely horizontally, vertically, and diagonally. The k-queens problem involves placing k queens on a k x k chessboard so that they do not obstruct each other, meaning no two queens are ever in the same rank, column, or diagonal. Solutions to the k-queens problem can be found using an exhaustive search. It is helpful to place one queen at a time on the board. If you get stuck, you have to remove previously placed queens. This is called "backtracking." 00:00 - Intro 00:19 - Introduction 03:17 - Example for k = 4 04:12 - How do you count everything? 06:22 - Algorithm 13:05 - Algorithm with Backtracking 15:56 - What does "backtracking" mean? 16:19 - Example for k = 7 Exhaustive search:    • Rucksackproblem: Erschöpfende Suche