What is meant by optimal substructure?

In computer science, a problem is said to have optimal substructure if an optimal solution can be constructed from optimal solutions of its subproblems. This property is used to determine the usefulness of dynamic programming and greedy algorithms for a problem.

Why optimal solution to the sub-problems are retained?

A problem has an optimal substructure property if an optimal solution of the given problem can be obtained by using the optimal solution of its subproblems. Dynamic Programming takes advantage of this property to find a solution.

Does the coin change problem have the optimal substructure property explain?

Like the rod cutting problem, coin change problem also has the property of the optimal substructure i.e., the optimal solution of a problem incorporates the optimal solution to the subproblems. For example, we are making an optimal solution for an amount of 8 by using two values – 5 and 3.

What is optimal and feasible solution in DAA?

A feasible solution satisfies all the problem’s constraints. An optimal solution is a feasible solution that results in the largest possible objective function value when maximizing (or smallest when minimizing).

What does substructure mean?

SUBSTRUCTURE. 1. the basic structure or features of a system or organization 2. lowest support of a structure Familiarity information: SUBSTRUCTURE used as a noun is rare.

What is a substructure in construction?

A Substructure is an underlying or supporting structure to superstructure. It is below ground level. Substructure is the lower portion of the building which transmits the dead load, live loads and other loads to the underneath sub soil.

What is economic substructure?

The substructure is “the real foundation, on which rises a legal and political superstructure and to which correspond definite forms of social consciousness”. “Economic production and the structure of society of every historical epoch necessarily arising therefrom constitute the foundation for the political and intellectual history of that epoch”.

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