# Program to find largest sum of non-adjacent elements of a list in Python

PythonServer Side ProgrammingProgramming

Suppose we have a list of numbers called nums, we will define a function that returns the largest sum of non-adjacent numbers. Here the numbers can be 0 or negative.

So, if the input is like [3, 5, 7, 3, 6], then the output will be 16, as we can take 3, 7, and 6 to get 16.

To solve this, we will follow these steps−

• if size of nums <= 2, then

• return maximum of nums

• noTake := 0

• take := nums

• for i in range 1 to size of nums, do

• take := noTake + nums[i]

• noTake := maximum of noTake and take

• return maximum of noTake and take

Let us see the following implementation to get better understanding −

## Example

Live Demo

class Solution:
def solve(self, nums):
if len(nums) <= 2:
return max(nums)
noTake = 0
take = nums
for i in range(1, len(nums)):
take, noTake = noTake + nums[i], max(noTake, take)
return max(noTake, take)
ob = Solution()
nums = [3, 5, 7, 3, 6]
print(ob.solve(nums))

## Input

[3, 5, 7, 3, 6]

## Output

16