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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 almost no benefits. [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however that calculation will use your Virtual Level regardless of the setting. | | '''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 almost no benefits. [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however that calculation will use your Virtual Level regardless of the setting. |
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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>. | | <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>. Note that experience levels are nonlinear and so the amount of experience between 1 and 92 is the same as the amount of experience between 93 and 99. |
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| {| class="wikitable alternating-rows sticky-header" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links --> | | {| class="wikitable alternating-rows sticky-header" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links --> |
Revision as of 22:02, 24 January 2022
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 almost no benefits. Pet drop rate calculations are based on your Virtual Level, however that calculation will use your Virtual Level regardless of the setting.
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]. Note that experience levels are nonlinear and so the amount of experience between 1 and 92 is the same as the amount of experience between 93 and 99.
Levels 100-120
| Level |
XP |
Difference
|
|
Level |
XP |
Difference
|
|
Level |
XP |
Difference
|
| 100 |
14,391,160 |
1,356,729
|
107 |
28,782,069 |
2,713,437
|
114 |
57,563,718 |
5,426,849
|
| 101 |
15,889,109 |
1,497,949
|
108 |
31,777,943 |
2,995,874
|
115 |
63,555,443 |
5,991,725
|
| 102 |
17,542,976 |
1,653,867
|
109 |
35,085,654 |
3,307,711
|
116 |
70,170,840 |
6,615,397
|
| 103 |
19,368,992 |
1,826,016
|
110 |
38,737,661 |
3,652,007
|
117 |
77,474,828 |
7,303,988
|
| 104 |
21,385,073 |
2,016,081
|
111 |
42,769,801 |
4,032,140
|
118 |
85,539,082 |
8,064,254
|
| 105 |
23,611,006 |
2,225,933
|
112 |
47,221,641 |
4,451,840
|
119 |
94,442,737 |
8,903,655
|
| 106 |
26,068,632 |
2,457,626
|
113 |
52,136,869 |
4,915,228
|
120 |
104,273,167 |
9,830,430
|
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:
