add main backtracking/all_permutations

Author: khanhkhanhlele

backtracking/all_permutations.py

@@ -86,3 +86,16 @@ def create_state_space_tree(
 
 sequence_2: list[int | str] = ["A", "B", "C"]
 generate_all_permutations(sequence_2)
+
+if __name__ == "__main__":
+    # --- Example 1: Integers ---
+    print("--- Permutations for [3, 1, 2, 4] ---")
+    sequence: list[int | str] = [3, 1, 2, 4]
+    generate_all_permutations(sequence)
+
+    print("\n" + "="*30 + "\n")
+
+    # --- Example 2: Characters ---
+    print("--- Permutations for ['A', 'B', 'C'] ---")
+    sequence_2: list[int | str] = ["A", "B", "C"]
+    generate_all_permutations(sequence_2)