# Experience Table

Note: Enabling "Virtual Levels" in the Settings will show the player if they would be on a level higher than 99, even though this gives no benefits. The experience difference between level $L-1$ and level $L$ is $\left\lfloor \frac{1}{4} \left( L-1+300 \left\lfloor 2^{\frac{L-1}{7}} \right\rfloor \right) \right\rfloor$. The table below show this experience difference for each level and also the cumulative experience from level 1 to level $L$.

The formula needed to calculate the amount of experience needed to reach level L is:

$\mathit{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor$

If the floor functions are ignored, the resulting summation can be found in closed form to be:

$\mathit{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)$

The approximation is very accurate, always within 100 experience but usually less than around 10 experience.