September 2014
Intermediate to advanced
902 pages
34h 8m
English
Content preview from The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1
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7.2. Generating All Possibilities
All present or accounted for, sir.
— Traditional American military saying
All present and correct, sir.
— Traditional British military saying
7.2.1. Generating Basic Combinatorial Patterns
Our goal in this section is to study methods for running through all of the possibilities in some combinatorial universe, because we often face problems in which an exhaustive examination of all cases is necessary or desirable. For example, we might want to look at all permutations of a given set.
Some authors call this the task of enumerating all of the possibilities; but that’s not quite the right word, because “enumeration” most often means that we merely want to count the total number of cases, not that we actually want ...
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