[pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

Author: pre-commit-ci[bot]

Diff for: dynamic_programming/max_sub_array.py

@@ -4,6 +4,7 @@
 """
 from __future__ import annotations
 
+
 def max_sub_array(a: list[int]) -> int:
     """
     return the largest sum of a contiguous subarray.
@@ -31,6 +32,7 @@ def max_sub_array(a: list[int]) -> int:
             answer = sol[i]
     return answer
 
+
 if __name__ == "__main__":
     """
     A random simulation of this algorithm.