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Which of the following is/are property/properties of a dynamic programming problem?

1) Optimal Substructure
2) Overlapping Subproblems
3) Both Optimal Substructure and Overlapping Subproblems
4) None of the above

User LongHike
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Final answer:

A dynamic programming problem has both Optimal Substructure and Overlapping Subproblems. Flammability is a chemical property, while melting point, boiling point, and density are physical properties.

Step-by-step explanation:

The properties of a dynamic programming problem include both Optimal Substructure and Overlapping Subproblems. For a problem to be solved using dynamic programming, it must exhibit these two characteristics. Optimal Substructure means that an optimal solution to the problem can be constructed from optimal solutions of its subproblems. Overlapping Subproblems mean that the space of subproblems must be small, that is, the algorithm solves the same subproblems repeatedly instead of generating new ones. Flammability is a chemical property because it describes the ability of a substance to burn or ignite, causing fire or combustion. By contrast, melting point, boiling point, and density are considered physical properties because they describe the conditions in which a substance changes its phase (melting and boiling points) or its mass per unit volume (density), without changing its chemical composition.

User S Kranthi Kumar
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