Create subset_sum_problem.py

Author: abhisheks008

Dynamic Programming/Subset Sum Problem/subset_sum_problem.py

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+# Subset Sum Problem using Dynamic Programming
+# Directory : Dynamic Programming
+# Language used : Python 3
+# Abhishek S, 2021
+
+# ------------------------------------------------------------------
+
+# Problem Statement : A Dynamic Programming solution for subset
+#                     sum problem Returns true if there is a subset of
+#                     set[] with sun equal to given sum
+
+# ------------------------------------------------------------------
+
+# Solution : Creating the Python script to find out the required output.
+
+
+ 
+# Returns true if there is a subset of set[]
+# with sum equal to given sum
+def isSubsetSum(set, n, sum):
+     
+    # The value of subset[i][j] will be
+    # true if there is a
+    # subset of set[0..j-1] with sum equal to i
+    subset =([[False for i in range(sum + 1)]
+            for i in range(n + 1)])
+     
+    # If sum is 0, then answer is true
+    for i in range(n + 1):
+        subset[i][0] = True
+         
+    # If sum is not 0 and set is empty,
+    # then answer is false
+    for i in range(1, sum + 1):
+         subset[0][i]= False
+             
+    # Fill the subset table in bottom up manner
+    for i in range(1, n + 1):
+        for j in range(1, sum + 1):
+            if j<set[i-1]:
+                subset[i][j] = subset[i-1][j]
+            if j>= set[i-1]:
+                subset[i][j] = (subset[i-1][j] or
+                                subset[i - 1][j-set[i-1]])
+     
+    # uncomment this code to print table
+    # for i in range(n + 1):
+    # for j in range(sum + 1):
+    # print (subset[i][j], end =" ")
+    # print()
+    return subset[n][sum]
+         
+# Driver code
+if __name__=='__main__':
+    print (" - Subset Sum Problem using Dynamic Programming - ")
+    print ("--------------------------------------------------")
+    print ()
+    set = list(map(int, input("Enter the set of numbers : ").split(" ")))
+    print ()
+    sum = int(input("Enter the subset sum : "))
+    print ()
+    print ("--------------------------------------------------")
+    print ()
+    print ("Calculating the result...")
+    print ()
+    print ("The Output is : ")
+    n = len(set)
+    if (isSubsetSum(set, n, sum) == True):
+        print("Found a subset with given sum")
+    else:
+        print("No subset with given sum")
+        
+        
+# ------------------------------------------------------------------
+# Input Cases :
+# Enter the set of numbers : 1 5 3 7 4
+# Enter the subset sum : 12
+
+# ------------------------------------------------------------------
+# Output :
+# Calculating the result...
+
+# The Output is : 
+# Found a subset with given sum
+
+# ------------------------------------------------------------------
+
+# Code contributed by, Abhishek Sharma, 2021