How can I solve the subset sum problem?

How can I solve the subset sum problem?

The subset sum problem involves finding a subset of numbers that adds up to a specific target sum. Would you like to know the algorithm to solve it?

Yes, please explain the algorithm.

You can use a dynamic programming approach. Create a boolean array where the index represents the sum and the value indicates if that sum can be formed. Initialize it with false, except for the 0th index, which should be true.

How do I fill in that array?

Iterate through each number in your set and update the array from the back to the front. If a sum can be formed by including the current number, set that index to true.

Can you give me an example with numbers?

Sure! If your set is {3, 34, 4, 12, 5, 2} and your target sum is 9, you would fill the array based on combinations of these numbers.