Add merge sort example code (#1771)

Signed-off-by: davidlin20dev <[email protected]>

examples/advanced_composition/advanced_composition/dynamic_workflow.py

@@ -1,4 +1,6 @@
-from flytekit import dynamic, task, workflow
+from typing import Tuple
+
+from flytekit import conditional, dynamic, task, workflow
 
 # A workflow whose directed acyclic graph (DAG) is computed at runtime
 # is a dynamic workflow.
@@ -77,3 +79,60 @@ def dynamic_wf(s1: str, s2: str) -> int:
 # Run the workflow locally
 if __name__ == "__main__":
     print(dynamic_wf(s1="Pear", s2="Earth"))
+
+
+@task
+def split(numbers: list[int]) -> Tuple[list[int], list[int], int, int]:
+    return (
+        numbers[0 : int(len(numbers) / 2)],
+        numbers[int(len(numbers) / 2) :],
+        int(len(numbers) / 2),
+        int(len(numbers)) - int(len(numbers) / 2),
+    )
+
+
+@task
+def merge(sorted_list1: list[int], sorted_list2: list[int]) -> list[int]:
+    result = []
+    while len(sorted_list1) > 0 and len(sorted_list2) > 0:
+        # Compare the current element of the first array with the current element of the second array.
+        # If the element in the first array is smaller, append it to the result and increment the first array index.
+        # Otherwise, do the same with the second array.
+        if sorted_list1[0] < sorted_list2[0]:
+            result.append(sorted_list1.pop(0))
+        else:
+            result.append(sorted_list2.pop(0))
+
+    # Extend the result with the remaining elements from both arrays
+    result.extend(sorted_list1)
+    result.extend(sorted_list2)
+
+    return result
+
+
+@task
+def sort_locally(numbers: list[int]) -> list[int]:
+    return sorted(numbers)
+
+
+@dynamic
+def merge_sort_remotely(numbers: list[int], run_local_at_count: int) -> list[int]:
+    split1, split2, new_count1, new_count2 = split(numbers=numbers)
+    sorted1 = merge_sort(numbers=split1, numbers_count=new_count1, run_local_at_count=run_local_at_count)
+    sorted2 = merge_sort(numbers=split2, numbers_count=new_count2, run_local_at_count=run_local_at_count)
+    return merge(sorted_list1=sorted1, sorted_list2=sorted2)
+
+
+@workflow
+def merge_sort(numbers: list[int], numbers_count: int, run_local_at_count: int = 5) -> list[int]:
+    return (
+        conditional("terminal_case")
+        .if_(numbers_count <= run_local_at_count)
+        .then(sort_locally(numbers=numbers))
+        .else_()
+        .then(merge_sort_remotely(numbers=numbers, run_local_at_count=run_local_at_count))
+    )
+
+
+if __name__ == "__main__":
+    print(merge_sort(numbers=[1813, 3105, 3260, 2634, 383, 7037, 3291, 2403, 315, 7164], numbers_count=10))