(The question is NOT asking for the code.) TASK 4 In 1759, Leonhard Euler, the f
ID: 3740375 • Letter: #
Question
(The question is NOT asking for the code.)
TASK 4 In 1759, Leonhard Euler, the famous mathematician, found the closed knight's tour for traversing all the cells of the chessboard only once. Read the text inscribed in the cells of the chessboard along this tour (see Figure 1). The beginning of the text is at A8 Please, look through these resources: Knight's tour -> https://en.wikipedia.org/wiki/Knight's tour 2 -> http://www.t- bag.org/KTour/voyager0/magicsqr.gif Fgure 1- Chessboard with inseribed extExplanation / Answer
The knights tour algorithm for traversing the chess borad (visiting each square once) is
as follows:
The algorithm is based on backtracking:
We will start with the first position that is A8. We will look at all the possible
moves from that square.We will choose a possible move randomly.The square visited will
be marked.The move will also be put in a stack. Reaching a position where moves are
not possible that is all the moves moving to a location is marked.In that situation
we can pop the positions from the stack one by one. Each position popped out will be
analyzed as per the possible moves from that position.If we get a move to an unmarked
position we will take that otherwise we can pop one more position from the stack.
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