Fast algorithm to find closed knight's tour -


i'm learning knight's tour algorithm. implemented using rescursive fine take long time , not closed tour.

now, i'm finding fast algorithm finding closed tour. can recommend me algorithm?

update: have readed somewhere heuristic find closed knight tour this: min[f(x, y)] f(x,y) set of f(x,y)=min(x-1, n-x) + min(y-1, n-y) , (x, y) position of next step , n size of chess board. how use heuristic?

the knight's tour problem in fact finding hamiltonian cycle in corresponding graph, known np-hard, problem may hard solve.

however, there several heuristics allow perform fast lookup. 1 of such heuristics warnsdorff's rule:

on each step move square, less possible moves available. if there several such squares, move 1 of them.

it's heuristics, , long time has been considered in fact solution knight's path problem, , examples showing second part of rule may lead incorrect decision found later computer usage.


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