.
Appendix
Kyle's statements on Meltdown payouts
Kyle's post on Meltdown rewards
Kyle's post on Meltdown gold payouts
Kyle's post on tiers and the need for an entry cost
Kyle's post on changing booster pack combinations

How the total number of players was estimated
We know that the median rank is what separates tier 5 to tier 6. We also know that this rank when doubled will equal the total number of players who participated.
Since the lowest tier 5 rank is 156 and the highest tier 6 rank is 189, therefore we can say that there were 312 (156 x 2) to 378 (189 x 2) players who participated.
Since E2E Pat Jay's rank was 349, we can then narrow the range and say that there were 349-378 players who participated. We can take the middle value of this range and estimate that there were around 364 players. We can then use this value to calculate the position estimates (PE) of each of the ranks.
How the formulas were derived
The Formulas
Formula 1 - Games needed to achieve a certain score with a given win rate
Points = Games won x 30
P = 30 x W x M
M = P / 30W
Formula 2 - Gold needed to play M amount of games with a with a given win rate
Gold spent or needed = Games played x 200 - Games won x 80 gold
G = 200 x M - W x M x 80
G = M (200 - 80W)
Formula 3 - Minimum win rate needed to break even given the amount of gold received for P amount of points.
Substitute formula 1 into 2
G = P / 30W x (200 - 80W)
30GW = P (200 - 80W)
30GW = 200P - 80PW
30GW + 80PW = 200P
W (30G + 80P) = 200P
W = 200P / (30G + 80P)
W = 200P / 10 (3G + 8P)
W = 20P / (3G + 8P)
Formula 4 - The amount of points achievable given you have G gold and a W win rate
From formula 3...
30GW = P (200 - 80W)
P = 30GW / (200 - 80W)
P = 30GW / 10(20 - 8W)
P = 3GW / (20 - 8W)
The Assumptions
- Wins give you 30 points
- You do not encounter any games that end in a draw that give 15 points
- Entry cost for a meltdown game is 200 gold
- You receive 80 gold per win
Past Meltdown data
All data and workings can be examined through an Excel file found here
Acknowledgements
I want to thank the following people for helping me in some way or form to write the older version of this guide:
5tumbl, Abeautifulmess, Afwelch, Alexmuaddib, Atomzed, Avenger37, Awhole, Binmango, Canbiso, Denglisha, Dima, Dizzyhead, Donvla, Drakecor001, Duel Bag, Eaquari, Elegist, Esenee, Exalter, Exodus11, Fate of Wheel, Holy Bacon, HVC06, Jackabox, JBLJork, JBLTBL, Kaps A Lot, Kyle, Legitballer, Lerazil, Mad Hammer, Manker, Mavrick7, Morsusmihi, Nathanelatr, Nichan28, Nikodemus, Nikola D, Ocnarb, Rameninabowl, Random Minion, Richarichie, Roustabout, Seraphihuang, Serau, Sin Hill, Skoop, Slackerright, Soren Ends, Spiderhunter, Starfish36, Supergrover, Tinydanzer, Tsukamasa, W60, YYYonefish, Zhou86... and anyone else I left out! Thank you!
A special thank you to my E2E guild mates Bayfighter, BraveBaldrick, Ballyworld and Jacob31088 for proofreading my guide, giving me helpful suggestions and encouraging me!
I also want to thank the following people for helping me in some way or form to write the newer version of this guide:
10Roann30, 15AAC, 17 Dienence, A1 Roustabout, Ahpu1666, Anson Darkeblade, Billyray63, Boulders, BP EvilPapa, BP Index, Dexterzero, Doccalabrone, Draftmaster26, Eaquari, Elaex, Emiro, Fe31, FirestormNZ, Fortana, Gother Lee, Greasypig, Guylai, Hansaplast, Hilton Wong, JBLTBL, Jenano, jkjkjk, Lost Fate, Magnus Asmodius, msaf, Orochiholic, Sinlicks, Smejky, Stellar Life, Triassen, Xanthokoukli, Zeeboo, Zhorax, ZYXW9876
A special thank you to my E2E guild mates 17 Shining, Brandon420, Ludwig, Luminos, Matei, and Truesight Hunter for helping me locate the median score and for encouraging me!
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