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| {| class="wikitable alternating-rows sticky-header" style="text-align:right;"
| | '''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. |
| 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. | |
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| | <onlyinclude>The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is approximately <math display='inline'>\left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor</math>. The table below shows this experience difference for each level and also the cumulative experience from level 1 to level <math display='inline'>L</math>. |
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| The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is <math display='inline'>\left\lfloor \frac{1}{4} \left( L-1+300 \left\lfloor 2^{\frac{L-1}{7}} \right\rfloor \right) \right\rfloor</math>. The table below show this experience difference for each level and also the cumulative experience from level 1 to level <math display='inline'>L</math>.
| | {| class="wikitable alternating-rows sticky-header" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links --> |
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| ! Level !! XP !! Difference | | ! Level !! XP !! Difference |
| ! rowspan="26" | | | ! rowspan="26" | |
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| | 75 || 1,210,421 || 114,143 | | | 75 || 1,210,421 || 114,143 |
| | colspan="3" | | | | colspan="3" | |
| |} | | |}</onlyinclude> |
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| The formula needed to calculate the amount of experience needed to reach level L is: | | The formula to calculate the amount of experience needed to reach level <math display='inline'>L</math> is: |
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| :<math>\mathit{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor</math> | | :<math>\text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor</math> |
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| If the floor functions are ignored, the resulting summation can be found in closed form to be: | | If the floor functions are ignored, the resulting summation can be found in closed form to be: |
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| :<math>\mathit{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)</math> | | :<math>\text{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)</math> |
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| The approximation is very accurate, always within 100 experience but usually less than around 10 experience. | | The approximation is very accurate, always within 100 experience but usually less than around 10 experience. |
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| {{Menu}} | | {{Menu}} |
| [[Category:Guides]]
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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 [math]\displaystyle{ L-1 }[/math] and level [math]\displaystyle{ L }[/math] is approximately [math]\displaystyle{ \left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor }[/math]. The table below shows this experience difference for each level and also the cumulative experience from level 1 to level [math]\displaystyle{ L }[/math].
The formula to calculate the amount of experience needed to reach level [math]\displaystyle{ L }[/math] is:
- [math]\displaystyle{ \text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor }[/math]
If the floor functions are ignored, the resulting summation can be found in closed form to be:
- [math]\displaystyle{ \text{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right) }[/math]
The approximation is very accurate, always within 100 experience but usually less than around 10 experience.
Combat:
