I wanted to get an idea of what combinations of wins at what tiers of conquest were needed to get the 1550 medals required to get the exclusive variant from the conquest shop (assuming you get the 9 cheapest purchases).

In the process, I ended up computing all combinations of matches that get you there. I figured there may be others that were interested in that info, so here it is!

There are a couple assumptions baked in to the computation:

1. It assumes you stop playing games once you get passed 1550 medals
2. It assumes that if you earn a ticket, you always use that ticket. Since you get a medal reward from just entering Silver+ this is a significant source of medals even if you never win any games in that tier.
3. The tickets that you will buy from the shop on your way to 9 purchases was not taken into account.

Interesting snippets:

• A straight shot from Proving Grounds to winning Infinity will give you enough medals
• It takes 45 Proving Ground wins to get enough medals (assuming you never win a silver game, but do use all your tickets)