Talk:Currencies

Quoto from article:
Example: * 200658 Essence to go from 294 to 394 * 200658 Essence multiplied by the 5000 Gold cost is 1,003,290,000 Gold * A Mystic Cap costs 1,000,000,000 Gold so 1,003,290,000 - 1,000,000,000 = 3,290,000 Gold saved if a Mystic Cap is spent at level 294 * Above level 296 the cost for 100 Relic levels increases to 2 Mystic Caps making Gold more efficient until level 536

x^1.3 (rounded to the closest integer) is used to calculate the cost for upgrading +1 lvl from current level.

When we calculate up one level we do not calculate as following :

2 Σ  x^1.3 x=1

1^1.3 + 2^1.3 = 3

Above calculation would give the total cost for upgrading from lvl 1 to lvl 3 (cost of lv1 to lv2 + cost of lv2 to lv3).

Instead the correct way to calculate +1 lvl is :

1 Σ  x^1.3 x=1

and when we want to calculate + 10 lvl's, correct calculation should be as;

Example cost to go lvl 11 from 1 (+10 lvls) :

cost to go lvl 2 from  1 =  1 cost to go lvl 3 from  2 =  2 cost to go lvl 4 from  3 =  4 .           .                 .         =  .                 .            . cost to go lvl  9 from  8 = 15 cost to go lvl 10 from 9 = 17 cost to go lvl 11 from 10 = 20

10 Σ  x^1.3                 = 96 x=1

and correct way to calculate essence cost from 294 to 394 should be as following :

cost to go lvl 295 from 294 =  1 618 cost to go lvl 296 from 295 =  1 625 cost to go lvl 297 from 296 =  1 632 .                 .                 .           =      .                 .                  . cost to go lvl 392 from 391 =   2 343 cost to go lvl 393 from 392 =  2 351 cost to go lvl 394 from 393 =  2 359

393 Σ    x^1.3                 = 198 291 x=294

and it leads to following conclusion :


 * 198291 Essence to go from 294 to 394
 * 198291 Essence multiplied by the 5000 Gold cost is 991,455,000 Gold
 * A Mystic Cap costs 1,000,000,000 Gold so 1,000,000,000 - 991,455,000 = 8,545,000 Gold is lost if a Mystic Cap is spent at level 294
 * Above level 296 the cost for 100 Relic levels increases to 2 Mystic Caps making the lost Gold closer to 1,000,000,000 Gold per 100 level upgrades through Mystic Cap purchases and gradually becoming smaller in quantity till it reaches level 536 where the gold lost is close to a minimum rate again.