deletions | additions       diff --git a/1.tex b/1.tex  index eab8c69..8453c14 100644  --- a/1.tex  +++ b/1.tex 
...
For example, if an answer is 10 or 20 meters away from the right place, the player should get very similar scores. And if the answer is 3000 meters of 3500 meters away he should also get very similar scores, even thought the same difference of 500 meters in the other situation would make a huge difference.   So we come up with the following sigmoid function, inverse-sigmoid-like function (Z-shaped),  where $S$ is the score and $d$ the distance between the right place and the player's answer: \begin{equation}  S = \frac{100}{1+{d^4}}