One of the best known general techniques for developing of the
algorithms is the Backtracking method. It seeks to eliminate the
generation of all possibilities in order to get the result. The
Backtracking method can be applied to those problems for which the
solution can be represented as a vector whose elements take values
in some finite sets and who meet certain internal conditions. In
the Backtracking method, the vector elements are expressed one at a
time, assigning a value to a component will be done only after
values have been assigned to all its previous components, and no
incompatibilities exist between these values. Classical problems
solved by this method are: queens' problem, Cartesian product
generation, the generation of combinations, the 0-1 knapsack
problem. The book is structured into 7 chapters and provides the
solutions to a number of 19 classical problems by using versions of
the backtracking algorithm. Most of the paragraphs are followed by
a section with solved exercises and problems.
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