Subset Sum

Statement

Given a set of positive numbers arr and a value total, determine if there exists a subset in the given set whose sum is equal to total. A subset can be an empty set, or it can either consist of some elements of the set or all the elements of the set.

Let’s say you are given a set = {1, 2, 3, 7} and a total = 6. The output will be TRUE as the subset = {1, 2, 3} adds up to make the desired total (1+2+3) = 6.

Constraints:

• $1\leq$ arr.length $\leq 1000$
• $0\leq$ total $\leq 10^5$
• $1\leq$ arr[i] $\leq 10^4$

Examples