How do you find the sum of subsets using backtracking?

How do you find the sum of subsets using backtracking?


  1. Start with an empty set.
  2. Add the next element from the list to the set.
  3. If the subset is having sum M, then stop with that subset as solution.
  4. If the subset is not feasible or if we have reached the end of the set, then backtrack through the subset until we find the most suitable value.

What is subset sum problem in backtracking?

Subset sum problem is to find subset of elements that are selected from a given set whose sum adds up to a given number K. We are considering the set contains non-negative values. It is assumed that the input set is unique (no duplicates are presented).

What is sum of subset problem give an example?

The SUBSET-SUM problem involves determining whether or not a subset from a list of integers can sum to a target value. For example, consider the list of nums = [1, 2, 3, 4] . If the target = 7 , there are two subsets that achieve this sum: {3, 4} and {1, 2, 4} . If target = 11 , there are no solutions.

How do you find the sum of a subset problem?

Given an array of integers and a sum, the task is to have all subsets of given array with sum equal to the given sum.

  1. Example 1:
  2. Input: set[] = {4, 16, 5, 23, 12}, sum = 9.
  3. Output = true.
  4. Subset {4, 5} has the sum equal to 9.
  5. Example 2:
  6. Input: set[] = {2, 3, 5, 6, 8, 10}, sum = 10.
  7. Output = true.

Is subset sum problem is an example of NP complete problem?

The Subset Sum Problem is a member of the NP-complete class, so no known polynomial time algorithm exists for it. Although there are polynomial time approximations and heuristics, these are not always acceptable, yet exact-solution algorithms are unfeasible for large input.

What is backtracking in data structure?

Backtracking is a technique based on algorithm to solve problem. It uses recursive calling to find the solution by building a solution step by step increasing values with time. It removes the solutions that doesn’t give rise to the solution of the problem based on the constraints given to solve the problem.

What is backtracking explain it with 4 queen problem?

The 4-Queens Problem[1] consists in placing four queens on a 4 x 4 chessboard so that no two queens can capture each other. That is, no two queens are allowed to be placed on the same row, the same column or the same diagonal.

Is subset sum in Class P?

This algorithm is polynomial in the values of A and B, which are exponential in their numbers of bits. However, Subset Sum encoded in unary is in P, since then the size of the encoding is linear in B-A. Hence, Subset Sum is only weakly NP-Complete.