I’m a quarter Draconian, a quarter Dragonborn and half Half-Dragon?

What are the differences between “Dragonborn”, “Half-Dragon”, and “Draconian” races in D&D?

In the Hoard of the Dragon Queen adventure, for example there is a Half-Dragon npc. I had assumed that when writing the adventure they were only allowed to use known material from Basic, and so renamed the Dragonborn into “Half-Dragon” for the sake of compatibility etc. However, the dragon breath rules are not at all similar for the half-dragon and the dragonborn, and I’ve also noticed wiki article that imply that they are different races entirely. (Thus introducing me to the term Draconian)

Are there clear differences between these three races, (in the same way there are differences between Goblins and Hobgoblins, or Dragonborn and Lizardfolk and Kobolds,) or are they really just three different setting names for the same basic race?

Answers can either be D&D 5e specific, or be based on the lore from all editions of Dungeons and Dragons. (I’m assuming here that the answer will be the same regardless)

Here are two images, the first one is a “half-dragon” from the front of the Hoard of the Dragon queen module, and the second one is a “dragonborn” from the 5e player’s Handbook. I’ve included these images to help explain my confusion.

Fast query on the number of elements in a quarter plane

I have a scatter of 2D elements on a 2D plane.

I would like an efficient algorithm to prepare and query the number of points in a quarter plane (inclusive of boundary).

The quarter plane is defined by a point $$(x,y)$$. All elements $$(x’, y’)$$ where $$x<=x’$$ and $$y<=y’$$ are in the quarter plane.

For example

• I have elements `[(1,1), (2,2), (1,2), (3,2)]`,
• My queries are `[(1,1), (2,2), (3,3)]`

The program should return `[1,3,4]`.

This is for a past competitive programming challenge (WiFi Network problem in this competition)

[ Football (American) ] Open Question : Are great quarter backs only as great as their offensive linemen?

If no one can get to of course you will do good. Why do the QBs get all the glory? Eli is an amazing qb but they him a **** line, Tom Brady is an average qb with an amazing line.