I'm working on a memory game and I would like to include a fair score system.
The data I can use to calculate the score are:
- the number of cards played (6, 8, 12, 16, 20, 24, 30 or 36)
- the number of flips used to finish the game
- the time used to finish the game in seconds
The rules for calculating the score are as follows:
- the more cards used the higher the score
- the less flips needed the higher the score
- the less seconds used the higher the score
The calculation should be progressive in some way. Knocking of 1 flip from 20 flips should be rewarded more than knocking off 1 flip from 50 flips. And knocking of 3 seconds from 60 seconds should be rewarded more than knocking off 3 seconds from 65 seconds.
I tried the following:
For the number of cards: 5 points per card used, so for 8 cards 40 points; for 20 cards 100 points, for 36 cards 180 points.
For the number of flips: 500 points divided by the number of flips used, so for 20 flips 25 points, for 10 flips 50 points.
For the seconds used: 5000 points divided by the number of seconds used, so for 100 seconds 50 points, for 25 seconds 200 points.
Formula: (5 * number of cards) + (500 / flips used) + (5000 / seconds used)
But this calculation is not progressive. I need some kind of factor to multiply the different score elements with so a drop of 5 seconds from 50 weighs more than a drop of 5 seconds from 80. But I cant figure this out.