Which of the following is a common application of dynamic programming in numeric

Practice Questions

Q1
Which of the following is a common application of dynamic programming in numerical applications?
  1. Matrix multiplication
  2. Finding the shortest path
  3. Sorting algorithms
  4. Binary search

Questions & Step-by-Step Solutions

Which of the following is a common application of dynamic programming in numerical applications?
  • Step 1: Understand what dynamic programming is. It is a method used to solve complex problems by breaking them down into simpler subproblems.
  • Step 2: Recognize that dynamic programming is often used in optimization problems, where we want to find the best solution among many possible solutions.
  • Step 3: Identify a common problem where dynamic programming is applied. One such problem is finding the shortest path in a graph.
  • Step 4: A graph is made up of nodes (points) and edges (connections between points). The shortest path is the least costly route from one node to another.
  • Step 5: Dynamic programming helps to efficiently find this shortest path by storing the results of subproblems (like the shortest paths from one node to another) to avoid redundant calculations.
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