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Python Program for Subset Sum Problem
In this article, we will learn about the solution to the problem statement given below.
Problem statement − We are given a set of non-negative integers in an array, and a value sum, we need to determine if there exists a subset of the given set with a sum equal to a given sum.
Now let’s observe the solution in the implementation below −
# Naive approach
Example
def SubsetSum(set, n, sum) :
# Base Cases
if (sum == 0) :
return True
if (n == 0 and sum != 0) :
return False
# ignore if last element is > sum
if (set[n - 1] > sum) :
return SubsetSum(set, n - 1, sum);
# else,we check the sum
# (1) including the last element
# (2) excluding the last element
return SubsetSum(set, n-1, sum) or SubsetSum(set, n-1, sumset[n-1])
# main
set = [2, 14, 6, 22, 4, 8]
sum = 10
n = len(set)
if (SubsetSum(set, n, sum) == True) :
print("Found a subset with given sum")
else :
print("No subset with given sum")Output
Found a subset with given sum
# dynamic approach
Example
# maximum number of activities that can be performed by a single person
def Activities(s, f ):
n = len(f)
print ("The selected activities are:")
# The first activity is always selected
i = 0
print (i,end=" ")
# For rest of the activities
for j in range(n):
# if start time is greater than or equal to that of previous activity
if s[j] >= f[i]:
print (j,end=" ")
i = j
# main
s = [1, 2, 0, 3, 2, 4]
f = [2, 5, 4, 6, 8, 8]
Activities(s, f)Output
Found a subset with given sum
Conclusion
In this article, we have learned about how we can make a Python Program for Subset Sum Problem
Updated on: 20-Dec-2019
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