Answer
See the explanation
Work Step by Step
To solve the knapsack problem, particularly the variation you described where you need to find numbers from a list whose sum is a particular value, one common approach is to use dynamic programming.
The algorithm works by building a table where each cell represents whether it's possible to achieve a particular sum using a subset of the numbers in the list. It iteratively fills the table by considering each number in the list and each possible sum, updating the table based on whether including the current number would lead to achieving the target sum.
The complexity of the dynamic programming solution for the knapsack problem is typically O(n*W), where n is the number of elements in the list and W is the target sum. This complexity arises from the nested loops used to fill the dynamic programming table.
