

After watching _Rakudai Kishi no Cavalry_ , I found myself confused by what
seems to be a plot hole. Specifically, the anime depicts the qualifying
matches at Hagun academy for the Seven Stars Sword Art tournament. The
qualifying matches seem to be a 20-round single-elimination tournament with 6
winners. This is never outright stated, but many points of dialogue suggest
this rather strongly, and at the very least it is stated explicitly in the
last episode of the anime that all of the competitors on the last day had won
19 matches.

_The 6 winners:_

> [![The 6
> winners](https://i.stack.imgur.com/30XLXm.jpg)](https://i.stack.imgur.com/30XLX.jpg)

By basic math, a single-elimination tournament with 6 winners and 20 rounds
would imply that there are about 6.3 million entrants to the qualifying
tournament. That number of students at the school seems to be effectively
impossible. For comparison, the population of New York City is about 8 million
people, and the total number of high school students in Japan in 2011 was
about 3.5 million. So this seems unreasonably large as an absolute number.

In addition, the number is too large relative to the size of the school. The
area of Hagun Academy is said to be more than 10 times the size of the Tokyo
Dome (according to <http://rakudai-kishi.wikia.com/wiki/Hagun_Academy>); using
that figure, the average population density would be about 5 people per square
meter (more than 100 times as dense as [the most dense
city](https://en.wikipedia.org/wiki/Manila) in the world). In addition, we've
gotten aerial shots of the school, and while large, it isn't nearly big enough
to contain that many people.

[![Aerial shot from episode
12](https://i.stack.imgur.com/YDFNPm.jpg)](https://i.stack.imgur.com/YDFNP.jpg)

So, I'm wondering, is this really the right number of students at the school?
If not, is there some explanation for how the tournament has 20 rounds, or is
this just a plot hole?


CC BY-SA 3.0
2015-12-26T02:01:44.807
28359
2016-09-24T16:49:06.143
2015-12-26T04:52:15.740
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question
rakudai-kishi-no-cavalry
How many students are there at Hagun Academy?


  1. Hagun Academy (破軍学園 Hagun Gakuen) is one of the seven Mage Knight schools -> there are only 7 schools.

  2. We have a rule

> With the competition, six students defeat 10 different students earning them
> their spot as Hagun Academy’s representatives for the festival.

So looks like we have less students in Hagun.

BTW, it's LN logic !!!


CC BY-SA 3.0
2015-12-26T04:26:04.657
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2015-12-29T13:24:08.080
2015-12-29T13:24:08.080
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answer