Add time complexity annotations to methods in world.py

world/world.py

@@ -153,6 +153,8 @@ class World:
 
         :param camera: The camera object for coordinate transformation.
         :param screen: The Pygame screen surface.
+
+        Time complexity: O(n), where n is the number of objects in the current buffer.
         """
         for obj_list in self.buffers[self.current_buffer].values():
             for obj in obj_list:
@@ -161,6 +163,9 @@ class World:
     def tick_all(self) -> None:
         """
         Advances all objects in the world by one tick, updating their state and handling interactions.
+
+        Time complexity: O(N + K) / O(N*M), where N is the number of objects in the current buffer,
+        K is the number of objects that can interact with each object, and M is number of objects in checked cells where C is the number of cells checked within the interaction radius.
         """
         next_buffer: int = 1 - self.current_buffer
         self.buffers[next_buffer].clear()
@@ -208,6 +213,8 @@ class World:
         :param y: Y coordinate of the center.
         :param radius: Search radius.
         :return: List of objects within the radius.
+
+        Time complexity: O(C * M) / O(N), where C is the number of cells checked within the radius and M is the number of objects in those cells.
         """
         result: List[BaseEntity] = []
         cell_x, cell_y = int(x // self.partition_size), int(y // self.partition_size)
@@ -234,6 +241,8 @@ class World:
         :param x2: Maximum X coordinate.
         :param y2: Maximum Y coordinate.
         :return: List of objects within the rectangle.
+
+        Time complexity: O(C * M) / O(N), where C is the number of cells checked within the rectangle and M is the number of objects in those cells.
         """
         result: List[BaseEntity] = []
         cell_x1, cell_y1 = (