Thread:Warrior fr/@comment-3089265-20120504073742/@comment-4752102-20120507030133

The formula that gives the building time for a given level is :

$$ Time (seconds) = round(\frac{A}{B}\times C^{level}-D) $$

Here is the exhaustive list of the coefficients:

You can see that the production buildings have the same increasing time and the reduction buildings only have their coefficient D, the "offset", that varies.

A and B is actually one coefficient but having a fraction of natural numbers gives unlimited precision.

Example :

We would like to know the time in seconds for building the level 46 of the Town Hall :

Town Hall ( A, B , C , D ) = ( 1800 , 1 , 1.17 , -1080 )

$$ Time (seconds) = round ( \frac{A}{B}\times C^{level}-D ) $$

$$ Time (seconds) = round ( \frac{1800}{1}\times 1.17^{46}+1080 ) $$

$$ Time (seconds) = round ( 1800\times 1369.46+1080 ) $$

$$ Time (seconds) = round ( 2'466'109,63 ) $$

$$ Time (seconds) = 2'466'110 $$

And 2'466'110 equals 28D 13h 1min 50sec (The displayed time is 28D 13h)

You can verify it by yourself. I hope that will help, let me know if you have any questions