You are given a non-negative integer array nums.
Your task is to find the largest sum of elements from nums such that no two chosen elements are at adjacent indices.
You may assume that: each element nums[i] represents a non-negative value.
Remember that if an element at index i is included in the sum, then elements at indices i-1 and i+1 (if they exist) must not be included.
Return an integer representing the largest possible sum.
[5, 5, 5]
10
nums[0] + nums[2] == 10
[10, 1, 1, 10]
20
nums[0] + nums[4] == 20
[0]
0
nums[0] == 0
[5, 5, 5]
10