A mathematical discussion about BE

First lets go over some math for levels 30-50

EXP needed to go from 30-50 is 60,096. 25 Minute summoners rift game gives 175 exp. That means without Fwotd bonus you have ~343 wins to get from level 30 to level 50

In the old system 343 wins would have given you 25,725 IP New system gives you 18 minor capsules and 2 glorious capsule Which is 18x900+2x2150 = 20,500

So what gives? Well that is where Fwotd comes into play. First win of the day used to give 150 IP For awhile gave 575 exp and now gives 400exp+50BE 150 IP = Two bonus wins (25 minute SR games) 575 EXP = 3.28 Bonus Wins 400 EXP = 2.28 Wins + .66 wins (50/75) (new be/old IP one game) = 2.94 Bonus wins With that data lets take a look how first win of the day plays out into this. For simplicity sake I'm rounding the exp + IP bonus into 3 wins.

Assuming that you can "only play" 8 hours a day, how long would it take to go from 30-50 Assuming 5 minute queue time and again assuming all 25 wins that would be 16 games a day 16 games = 18 (w/Fwotd) old system 16 games = 19 (w/Fwotd) new system

That means to get "343 games" (25 minute wins) the new system would take 19.05 Days Which if you read this far you might remember gives ~ 20,500 BE (average) So how many days would it take you to get to 20,500 IP in the old system? well 20,500 IP in the old system was 273 games assuming above Fwotd assumptions thats 14.37 Days So it takes about 5 more days in the new system to get the same amount of BE that the old system gave in 14 days.

Lets get a few more numbers down using the same assumptions but 4 hours of play instead of 8: New =11 games = 31 days old = 10 Games = 27 days

So what about 3 hours of play? New = 9 Games = 38 Days Old = 8 games = 34 Days

2 hours of play? New = 7 = 49 Days Old=6 = 45 Days

So what about 1 hour or two games? New system = 5 games = 68.6 Old= 4 games = 68.25 days

So there you have it Riot is balancing FWotD around 2 games of play each day assuming all wins. However, this math also doesn't account for using shards to unlock champions. Assuming you get lucky and get shards you don't own you get a discount of 20%.

So yea, there is the math behind it. Just so you know, a 25 minute win in the new system is worth about 60 BE. Which means we are short 15 BE from the old system, and that 175 EXP is worth more than the 50BE they used to give us for Fwotd. My best guess is that we are short the 15 BE to account for the discount that you get when you use a shard to buy a champion. For example 15 BE over 343 games adds up to 5.1k BE. Assuming that you use the 20% discount on 1 6300 champion you save 1,260 BE which means they expect you to purchase 4 6300 champs to have the old system fully equal the new system.

So now that we have that out of the way can we please go back to complaining that damage is too high on all champions.