I do not have access to a computer to make an adequate scenario quickly and post a picture so here's the details.

The point is to use logic and move your armies in a path that will conquer the map in one turn. I suspect this will be pretty difficult, depending on the map.

I dont care what the settings are as long as:

- Multi-Attack and No-Split Enabled
- You have enough armies to theoretically conquer the entire map on turn 1 without the others in the game making a difference.

Allowed Maps:

Medium Earth
Modified Medium Earth
Ancient Greece
Ancient Greece II
Europe

Good Luck!

Nice Muli :) unfortunately I cannot do this on app because the limit to a custom scenario darting armies is 100 and many maps have more than 100 territories. If someone could make me a valid template I would be really happy.

Searching for https://en.wikipedia.org/wiki/Hamiltonian_path, huh?

@Krzychu Yes, except each vertex is a territory :P

Edited 7/31/2015 14:43:44

the real challenge is to find a map where this is impossible.

https://en.m.wikipedia.org/wiki/Seven_Bridges_of_Konigsberg

Edited 7/31/2015 20:35:17

Bridges of Konigsberg is an example of a graph with no Eulerian path. In general, it's easy to determine if a graph has an Eulerian path - a vertex of odd degree must be the beginning or end of an Eulerian path.
What Benjamin is asking about is Hamiltonian path; in general, this is a much harder problem.

Edit: of course, Warlight maps are typically planar, and only include a few small cuts, so probably most Warlight maps have Hamiltonian paths, and probably they're not too hard to find. Edit2: replaced one "cycle", which occurred only in the edit and which was a typo, with "path".

Edited 7/31/2015 23:16:59

Shyb - thank you for posting this...I will have much fun trying to figure this out :)

Small (nitpicky :p ) correction: you don't need a Hamiltonian Cycle (where the start and end vertex are the same), a Hamiltonian Path (which is allowed to have distinct start and end vertices) suffices.

The most probable cause for a WL map to not have a path like that, is when it has three (or more) "dead ends", territories with only a single neighbour. Maps of subway systems are pretty much guaranteed to not allow this kind of scenario; "geographical" maps are very likely to work though (even a map of, for example, Croatia should probably work; while Dubrovnik is likely a dead end, maps can have up to two dead ends and still work).

If you start in South Pole on Medium Earth it is impossible.

...since removing the South Pole creates 3 dead-ends.

2* I thought about it, and I'm wrong. It is possible, you just can't go through Aus first

Edited 8/1/2015 00:07:42

oh right, the territory on the right has two escape routes.