Which of the following statements about Dynamic Programming is true?a)...
Dynamic Programming is a technique used to solve problems by breaking them down into smaller, overlapping subproblems and solving each subproblem only once, storing the result for future use.
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Which of the following statements about Dynamic Programming is true?a)...
Dynamic Programming
Dynamic Programming is a technique used to solve complex problems by breaking them down into smaller overlapping subproblems. It is a method of solving problems by combining solutions to subproblems.
Statement Analysis
Let's analyze each statement and determine their accuracy:
a) It is a technique to optimize code execution speed.
This statement is not entirely accurate. While dynamic programming can lead to optimized code execution speed in some cases, it is not the primary purpose of dynamic programming. The main goal of dynamic programming is to solve complex problems efficiently by breaking them down into smaller manageable subproblems.
b) It is used to solve problems that can be divided into overlapping subproblems.
This statement is correct. Dynamic programming is specifically designed to solve problems that can be divided into overlapping subproblems. By solving these smaller subproblems and storing their solutions, dynamic programming avoids redundant computation and improves overall efficiency.
c) It is a method to generate random numbers.
This statement is incorrect. Dynamic programming does not involve generating random numbers. It is a problem-solving technique that helps to solve optimization problems by breaking them down into smaller subproblems.
d) It is applicable only to linear data structures.
This statement is incorrect. Dynamic programming is not limited to linear data structures. It can be applied to various data structures such as arrays, matrices, trees, graphs, etc. The applicability of dynamic programming depends on the nature of the problem being solved, rather than the type of data structure used.
Conclusion
Among the given statements, only statement b) is true. Dynamic programming is a technique used to solve problems that can be divided into overlapping subproblems. It is not primarily focused on optimizing code execution speed, generating random numbers, or limited to linear data structures.