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:

  • 11\leq arr.length 900\leq 900
  • 00\leq total 105\leq 10^5
  • 11\leq arr[i] 104\leq 10^4

Examples

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