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The Knight\'s Tour A knight\'s tour is a sequence of moves of a knight on a ches

ID: 640588 • Letter: T

Question

The Knight's Tour A knight's tour is a sequence of moves of a knight on a chessboard (Links to an external site.) such that the knight visits every square once and only once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately, following the same path), the tour is closed, otherwise it is open. The knight's tour problem is the mathematical problem (Links to an external site.) of finding a knight's tour. Creating a program to find a Knight's Tour is a common problem given to computer science (Links to an external site.) students at every major university. Normally, it is given in an introductory course in order to teach recursion. When using recursion, "backtracking" is accomplished via the run-time stack. An article on backtracking can be found here: http://en.wikipedia.org/wiki/Backtracking Warnsdorff's rule: Each square contains an integer giving the number of moves that the knight could make from that square. In this case, the rule tells us to move to the square with the smallest integer in it, namely 2. Warnsdorff's rule is a heuristic (Links to an external site.) for finding a knight's tour. We move the knight so that we always proceed to the square from which the knight will have the fewest onward moves. When calculating the number of onward moves for each candidate square, we do not count moves that revisit any square already visited. It is, of course, possible to have two or more choices for which the number of onward moves is equal; there are various methods for breaking such ties, including one devised by Pohl and another by Squirrel and Cull. The heuristic (Links to an external site.) was first described in "Des R

Explanation / Answer

#include

#include

Void main()

{

Int chsboard[8][8],row,col,i,j;

Printf(

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