iframe-proxy | Sunbelt Computer Software

History

45 lines (38 loc) · 1.42 KB

Raw

'''

The sum-of-subsetsproblem states that a set of non-negative integers, and a value M,

determine all possible subsets of the given set whose summation sum equal to given M.

Summation of the chosen numbers must be equal to given number M and one number can

be used only once.

'''

def generate_sum_of_subsets_soln(nums, max_sum):

result = []

path = []

num_index = 0

remaining_nums_sum = sum(nums)

create_state_space_tree(nums, max_sum, num_index, path,result, remaining_nums_sum)

return result

def create_state_space_tree(nums,max_sum,num_index,path,result, remaining_nums_sum):

'''

Creates a state space tree to iterate through each branch using DFS.

It terminates the branching of a node when any of the two conditions

given below satisfy.

This algorithm follows depth-fist-search and backtracks when the node is not branchable.

'''

if sum(path) > max_sum or (remaining_nums_sum + sum(path)) < max_sum:

return

if sum(path) == max_sum:

result.append(path)

return

for num_index in range(num_index,len(nums)):

create_state_space_tree(nums, max_sum, num_index + 1, path + [nums[num_index]], result, remaining_nums_sum - nums[num_index])

'''

remove the comment to take an input from the user

print("Enter the elements")

nums = list(map(int, input().split()))

print("Enter max_sum sum")

max_sum = int(input())

'''

nums = [3, 34, 4, 12, 5, 2]

max_sum = 9

result = generate_sum_of_subsets_soln(nums,max_sum)

print(*result)

Sunbelt Computer Software

PL/B Language Development and Support

Navigation Menu

Sunbelt Computer Software

PL/B Language Development and Support

FilesExpand file tree

sum_of_subsets.py

Latest commit

History

sum_of_subsets.py

File metadata and controls