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Identifying the unconditional enumeration pattern


Unconditional enumeration is a fundamental backtracking technique used to generate all solution states to a problem. Most problems that can be solved using this technique are easy or medium problems, where we are given an initial problem state and we recursively make choices to reduce the problem space, ultimately leading to solution states. By systematically exploring these states, unconditional enumeration ensures that all valid solutions are considered. Most problems where we can make a fixed set of choices that are independent of any previously made choice can be solved using the unconditional enumeration technique.

If the problem statement or its solution follows the generic template below, it can be solved using unconditional enumeration.

Template:

Given an initial problem state, enumerate all the solution states that can be reached from it by making a fixed set of independent choices at each step.

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