Added maximum non-adjacent sum

dynamic_programming/max_non_adjacent_sum.py

@@ -0,0 +1,52 @@
+from typing import List
+
+
+def max_non_adj_sum(nums: List[int]) -> int:
+    '''
+    Function to find the maximum non-adjacent sum of the elements in the input list
+
+    Parameters
+    ----------
+    nums : List[int]
+        List of integers for the maximum non-adjacent sum computation
+
+    Returns
+    -------
+    int
+        maximum non-adjacent sum
+
+    Examples
+    --------
+    These are written in doctest format, and should illustrate how to use the function
+
+    >>> print(max_non_adj_sum([1, 2, 3]))
+    4
+
+    >>> max_non_adj_sum([1, 5, 3, 7, 2, 2, 6])
+    18
+
+    >>> max_non_adj_sum([-1, -5, -3, -7, -2, -2, -6])
+    0
+
+    >>> max_non_adj_sum([499, 500, -3, -7, -2, -2, -6])
+    500
+    '''
+
+    if (len(nums) == 0):
+        return 0
+
+    max_including = nums[0]
+    max_excluding = 0
+
+    for num in nums[1:]:
+        temp = max_including
+        max_including = max_excluding + num
+        max_excluding = max(temp, max_excluding)
+
+    return max(max_excluding, max_including)
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()