diff --git a/kyu_6/sums_of_parts/solution.py b/kyu_6/sums_of_parts/solution.py
index a6872651a58..de42460c068 100644
--- a/kyu_6/sums_of_parts/solution.py
+++ b/kyu_6/sums_of_parts/solution.py
@@ -12,5 +12,17 @@ def parts_sums(ls: list) -> list:
     :param ls:
     :return:
     """
+    # empty list should return 0
+    if not ls:
+        return [0]
+
     result: list = []
+    ls_sum: int = sum(ls)
+    result.append(ls_sum)
+
+    for num in ls:
+        n = ls_sum - num
+        result.append(n)
+        ls_sum = n
+
     return result
diff --git a/kyu_6/sums_of_parts/test_solution.py b/kyu_6/sums_of_parts/test_solution.py
index e683e2f5bc4..43b93a73526 100644
--- a/kyu_6/sums_of_parts/test_solution.py
+++ b/kyu_6/sums_of_parts/test_solution.py
@@ -51,6 +51,7 @@ def test_sjf(self):
             "</p>")
         # pylint: enable-msg=R0801
         test_data: tuple = (
+            ([], [0]),
             ([1, 2, 3, 4, 5, 6], [21, 20, 18, 15, 11, 6, 0]),
             ([0, 1, 3, 6, 10], [20, 20, 19, 16, 10, 0]),
             ([744125, 935, 407, 454, 430, 90, 144, 6710213, 889, 810, 2579358],