When training your players it can sometimes be useful to know exactly how much experience is used to train the attributes to each level. So without further ado:

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1. The base formulae for training each attribute

Blocking

• Training cost = 200 * (1.039)^n (max 13,000 at n = 110)

Duelling, Passing & Tactics

• Training cost = 200 * (1.036)^n (max 10,000 at n = 111)

Scoring

• Training cost = 200 * (1.037)^n (max 11,000 at n = 111)

Where n is the number of current trainings. These values are rounded to the nearest integer in the training complex. 

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2. The total cost of training each attribute from zero to n, where n is the total number of trainings 

Blocking 

• Total cost = 200/0.039 * [(1.039)^n - 1] 

Duelling, Passing & Tactics

• Total cost = 200/0.036 * [(1.036)^n - 1] 

Scoring 

• Total cost = 200/0.037 * [(1.037)^n - 1] 

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3. The total cost of training each attribute from a to b

Blocking

• Total cost = 200/0.039 * [(1.039)^b - (1.039)^a]

Duelling, Passing & Tactics

• Total cost = 200/0.036 * [(1.036)^b - (1.036)^a] 

Scoring 

• Total cost = 200/0.037 * [(1.037)^b - (1.037)^a]

These are for costs below the limit values of 10 000, 11 000 and 13 000. 

For costs above the limits then calculate the costs above and below the limit values separately. 

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Examples

1. The cost of training Scoring from 90 to 91. 

• Training cost = 200 * (1.037) ^ 90 = 5,261.603. Rounded to 5,262 xp

2 (a) The total cost of training Blocking from zero to 110.

• Total cost = 200/0.039 * [(1.039) ^ 110 -1] = 339,758 xp

2 (b) The total cost of training Blocking from zero to 150.

• Total cost = Cost to train to 110 + 13,000 * 40 = 859,758 xp

3. The total cost of training Passing from 90 to 100.

• Total cost = 200/0.036 * [(1.036)^100 - (1.036)^90] = 56,855 xp

Please feel free to ask questions and also point out any errors that you may find.  

E & OE

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Question

Would people prefer it if I simplified them a little? like so:

Blocking 

• Total cost = 20000/3.9 * [(1.039)^n - 1] 

Another question that sometimes arises is that you have saved up xp and  wish to know how many trainings that will give you. 

The easiest way is to make a guess and then use the above formula for the total cost and see how close you get, then refine the estimate. 

But there is another method that eliminates the guesswork and will give an exact answer. It involves using logarithms so please feel free to ignore my ramblings if this gives you a headache. 

If n is the number of current trainings and xp is the amount of saved up xp then the number of possible Scoring trainings, t, is given by:

• t = [ log (xp * 0.037/200 + 1.037^n )  / log (1.037) ] - n   

For Blocking replace the numbers 037 in the formula with 039 and for Duelling, Passing and Tactics use 036.  

Example:

A player has 51 Scoring trainings and 79,400 saved up xp. How many Scoring trainings can he have? 

• t = [ log (79,400 * 0.037/200 + 1.037^51 )  / log (1.037) ] - 51 = 83.886 - 51 = 32.886 

So he has enough xp for 32 trainings which will take him from 51 to 83. 

A small update giving the total cost of training each attribute up to their respective limit values of 10 000, 11 000 and 13 000, after which the calculation is straightforward. 

• Blocking (up to 110) costs 339,758 xp
• Duelling, Passing & Tactics (up to 111) costs 276,062 xp
• Scoring (up to 111) costs 299,574 xp

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