Code enhancements in binary_insertion_sort.py (#10918)

* Code enhancements in binary_insertion_sort.py

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

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

* Apply suggestions from code review

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>

Author: 3 people

sorts/binary_insertion_sort.py

@@ -12,10 +12,11 @@
 
 
 def binary_insertion_sort(collection: list) -> list:
-    """Pure implementation of the binary insertion sort algorithm in Python
-    :param collection: some mutable ordered collection with heterogeneous
-    comparable items inside
-    :return: the same collection ordered by ascending
+    """
+    Sorts a list using the binary insertion sort algorithm.
+
+    :param collection: A mutable ordered collection with comparable items.
+    :return: The same collection ordered in ascending order.
 
     Examples:
     >>> binary_insertion_sort([0, 4, 1234, 4, 1])
@@ -39,23 +40,27 @@ def binary_insertion_sort(collection: list) -> list:
 
     n = len(collection)
     for i in range(1, n):
-        val = collection[i]
+        value_to_insert = collection[i]
         low = 0
         high = i - 1
 
         while low <= high:
             mid = (low + high) // 2
-            if val < collection[mid]:
+            if value_to_insert < collection[mid]:
                 high = mid - 1
             else:
                 low = mid + 1
         for j in range(i, low, -1):
             collection[j] = collection[j - 1]
-        collection[low] = val
+        collection[low] = value_to_insert
     return collection
 
 
-if __name__ == "__main__":
+if __name__ == "__main":
     user_input = input("Enter numbers separated by a comma:\n").strip()
-    unsorted = [int(item) for item in user_input.split(",")]
-    print(binary_insertion_sort(unsorted))
+    try:
+        unsorted = [int(item) for item in user_input.split(",")]
+    except ValueError:
+        print("Invalid input. Please enter valid integers separated by commas.")
+        raise
+    print(f"{binary_insertion_sort(unsorted) = }")