Some disappointing numbers and charts ;)

[Miraculix]

Okey so I was well into grinding these days, and sometime when I was bored I figured I'd play with Excel a bit and draw up a few charts with numbers about levelling.

Okay, so we start with the amount of XP you have when you start each level:

1    0
2    100
3    285
4    610
5    1185
6    2060
7    3385
8    5230
9    7725
10    10950
11    15125
12    20350
13    26805
14    34685
15    44110
16    55295
17    68470
18    83775
19    101460
20    121675
21    144810
22    171035
23    200520
24    233570
25    270505
26    311515
27    356940
28    406980
29    461995
30    522400
31    588125
32    664575
33    752570
34    852000
35    966000
36    1093530
37    1235705
38    1393530
39    1568015
40    1760000
41    1970465
42    2219770
43    2510000
44    2845000
45    3226415
46    3657100
47    4139825
48    4677595
49    5273230
50    5929875

which gives us this chart:



Which looks like some sort of exponential function. Nothing weird here. But I was so tired of leveling, that I thought it's not just getting harder, I'm hitting a goddamn wall at these 40+ levels, what's the matter? So, I calculated the number of mobs you need to kill at each level, to gain a new level, assuming you killed mobs that are equal level to your own. Here are the numbers:

1    4
2    6,166666667
3    9,285714286
4    14,375
5    19,44444444
6    26,5
7    33,54545455
8    41,58333333
9    49,61538462
10    59,64285714
11    69,66666667
12    80,6875
13    92,70588235
14    104,7222222
15    117,7368421
16    131,75
17    145,7619048
18    160,7727273
19    175,7826087
20    192,7916667
21    209,8
22    226,8076923
23    244,8148148
24    263,8214286
25    282,8275862
26    302,8333333
27    322,8387097
28    343,84375
29    366,0909091
30    386,6176471
31    436,8571429
32    488,8611111
33    537,4594595
34    600
35    654
36    710,875
37    769,8780488
38    830,8809524
39    892,9534884
40    956,6590909
41    1108,022222
42    1261,869565
43    1425,531915
44    1589,229167
45    1757,897959
46    1930,9
47    2108,901961
48    2290,903846
49    2477,90566

which in turn give this chart:



Notice anything? Watch how it's ascending linear from 1-30, then it gets steeper for 31-40, and then even steeper at 41-50.... Okey maybe you don't see it. Thankfully, we can prove it and also see just how much steeper it gets by calculating the derivative. We don't know the equation, so we have to do dy/dx for every 2 points in the graph, levels, 1-2, 2-3, 3-4, etc etc. Ideally, this would be a steady line, maybe ascending, meaning that each level gets harder (ie, needs more kills) at the same rate as every level. Heh, far from the truth. This is the derivative of the above graph:



Now it's crystal clear: Levels 1-30 seem normal, they have a difficulty rating of around 20. Levels 30-40 get significantly harder, that is, each new level in the 30's is getting harder at a faster rate than before, it's not "just" getting harder. The "difficulty rating" there is around 60. This becomes even worse in the 40-50 region, where there is another clear jump. The difficulty rating there is 3 times larger than in the 30's, around 180!!!!

This means: For levels 1-30, each level is around 20 "units" harder than the previous. For levels 30-40, each level is around 60 "units" harder than the previous, and for levels 40-50 each level is around 180 "units" harder than the previous....

There is a clear difference between lvls 1-30, 30-40, and 40-50... Everyone felt it, and now there is proof! ;p

BTW, notice that little spike on lvl34 and lvl42? They are a little bit harder than the rest, harder than expected, that is

Ah well. Nothing we can do about it, we just need to keeeep on levelling.

By the way, the total number of mobs you have to kill to get from lvl1 to lvl50 is about 27317. Yeah.

[DkySven]

Nice piece of maths! I already though that the xp-chart was somehow like tangens. Imagine how hard it's going to be to reach level 60...

[mann2411]

wow that deserves a round of aplause for this maths

[Envy]

Bleh, no intention of doing it again soon

Nice graphs Mira.

[_dracus_]

Miraculix you should grind instead of doing that kind of math.

[Laeloth_Claireplaine]

OMG ! XDD

You really had to be bored grinding ! But congrats for the charts, it shows a good view of the difficulty to reach high lvls. (a bit cryptic, maybe... but useful ^^)

If you have some time now... mind to calculate the kills you got to make when in a group of 2, 3 or 4 ? (of mere Warriors. To start. We'll complicate with a Conju if you don't feel like grinding back... )

[Mattdoesrock]

Did you calculate the number of mobs needed before or after quests?

[Pizdzius]

\o/ absolutely stunning!

[magnet]

Wow! You know how to use a spreadsheet software (or gnuplot) . (pretty graphs).

The "proper" way to level without too much stress is to think of it as a linear process, where levels don't matter but you just got to reach 5,97M exp. Just ignore levels and it makes things easier .

[Miraculix]

LOL - Thanks for the comments everyone :P

Yes, I was super-bored

What I wanted to show you is actually the intentional "jump" from the difficulty of 1-30 lvls to 30-40 lvls, and the even greater jump of 40-50 lvls... That can't be anything but intentional