Check if is possible to get given sum from a given set of elements in Python

Suppose we have an array called nums and another value sum. We have to check whether it is possible to get sum by adding elements present in nums, we may pick a single element multiple times.

So, if the input is like nums = [2, 3, 5] sum = 28, then the output will be True as we can get 26 by using 5 + 5 + 5 + 5 + 3 + 3 + 2

To solve this, we will follow these steps −

• MAX := 1000
• table := an array of size MAX ad fill with 0
• Define a function util() . This will take nums
• table[0] := 1
• sort the list nums
• for i in range 0 to size of nums - 1, do
  • val := nums[i]
  • if table[val] is non-zero, then
    • go for next iteration
  • for j in range 0 to MAX - val - 1, do
    • if table[j] is non-zero, then
      • table[j + val] := 1
• From the main method do the following −
• util(nums)
• if table[sum] is non-zero, then
  • return True
• return False

Let us see the following implementation to get better understanding −

Example

 Live Demo

MAX = 1000
table = [0] * MAX
def util(nums):
   table[0] = 1
   nums.sort()
   for i in range(len(nums)):
      val = nums[i]
      if table[val]:
         continue
      for j in range(MAX - val):
         if table[j]:
            table[j + val] = 1
def solve(nums, sum):
   util(nums)
   if table[sum]:
      return True
   return False
nums = [2, 3, 5]
sum = 28
print (solve(nums, sum))

Input

[2, 3, 5], 28

Output

True

Arnab Chakraborty

Published on 18-Jan-2021 12:58:12

• Related Questions & Answers
• Check if it is possible to create a palindrome string from given N in Python
• Check if right triangle possible from given area and hypotenuse in Python
• Find if it is possible to get a ratio from given ranges of costs and quantities in Python
• Check if it is possible to form string B from A under the given constraint in Python
• Check if it is possible to create a polygon with a given angle in Python
• Check if a triangle of positive area is possible with the given angles in Python
• Check if a given string is sum-string in C++
• Check if it is possible to create a polygon with given n sidess in Python
• Check if possible to move from given coordinate to desired coordinate in C++
• Find if it is possible to get a ratio from given ranges of costs and quantities in C++
• Get positive elements from given list of lists in Python
• Check if it is possible to reach a number by making jumps of two given length in Python
• Check if an array contains all elements of a given range in Python
• Check if a triplet with given sum exists in BST in Python
• Get last N elements from given list in Python