Author Topic: Optimum Route to 35  (Read 5605 times)

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Offline Mouse

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Optimum Route to 35
« on: January 16, 2011, 11:37:23 pm »
+1
Level 35 is a long ways off, but it's not an impossible goal. I'm going to do some math here, but first...

TL;DR? Retiring 6 times is the best way to get to level 35.

Now I will try to explain. If you've got a degree in math, I'm sorry. This is going to be painful. :rolleyes:

If it takes 4 million experience to get to level 30 and then doubles every level after that, it takes 128 million experience to get to level 35. We'll simplify this and just say it takes 32 times as long to get to level 35 as it does to get to level 30.

Let y be the time it takes to get to level 35 so we can just say that y = 32, or at least it does if you go straight for level 35 as a first generation character. If we factor in experience bonuses for higher generation characters, the equation looks like this:

y = 32 / (1+x/10) where x is the number of times you have retired (NOT the generation!). If we retire 10 times we get 200% experience and can get to level 35 on generation 11 twice as fast as someone who never retired.

Of course that would mean getting up to level 31 a whole 10 times, which negates some or all of that bonus. Getting to level 31 takes twice as long as level 30, so we'll just say that y = 2 / (1+x/10) for each retirement.

If we combine this together into a nice equation that we can graph, we get an ugly thing that uses summation notation...

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If we graph that, and if I'm correct, you'll see a curve representing the time it takes to get to level 35 as a multiple of the time it takes to get to level 30 (y) relative to the number of times you've retired (x). There are two minimums: x = 5 and x = 6. In both cases Y = 29.785.

In other words, if you retire 5 or 6 times, it will only take 93% (29.785 / 32) of the time to get to level 35 that it would have taken had you gone straight for level 35 without retiring. It's not a huge time saver, but it still saves some time while getting you heirlooms, plus whatever other retirement bonuses might show up in the future.

For those who are curious, you can retire up to 15 times and still make it to level 35 faster than someone who never retires (though just barely at that point). This, of course, ignores in-game factors like the experience multiplier for winning. In practice someone who retires just three times might make it to level 35 the fastest because they'll spend more time at a high level contributing more to winning and therefore getting much more experience.

If you never retired, don't fret about the guys on generation 11 getting double experience and having a huge advantage over you. Because experience doubles every level after 30, they'll only be one negligible level ahead of you.

Offline Banok

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Re: Optimum Route to 35
« Reply #1 on: January 16, 2011, 11:54:18 pm »
0
nice post.

Offline ThePoopy

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Re: Optimum Route to 35
« Reply #2 on: January 16, 2011, 11:59:55 pm »
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make 1 for if u wanna reach lvl 40 XD, (after lvl 35 you need tripple xp)
« Last Edit: January 17, 2011, 12:13:23 am by ThePoopy »

Offline Mouse

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Re: Optimum Route to 35
« Reply #3 on: January 17, 2011, 10:38:57 am »
0
For time to level 40, replace 32 with 7776 and you'll have your answer: never. :rolleyes:

Actually the fastest route to level 40 is to retire about 3700 times. Altogether you'll get to level 40 in 140.3 times the time it takes to get to level 30.

But wait, if you retired 3700 times, wouldn't it take at least 3700 times the time it takes to get to level 31? No, because the time it takes to level to 31 becomes almost infinitesimal at that point, at least in the grand scheme of things. Consider that on your 3700th retirement you're now getting something like 371,000 XP per minute. You would literally get to level 31 (about 9,000,000 experience I believe) in under 30 minutes. With a 5x victory multiplier, you could get to level 31 in just 5 minutes. To reach level 40 from that point, however, would still take another 3000+ hours of game play on a 1x multiplier. (Up to this point you'd probably have played about 18,000 hours. 16 hours a day for 3 years, assuming just a 1x multiplier the entire time anyway.)

(Something tells me my math goes horribly wrong here somewhere, but whatever. The XP system basically breaks down when taken to such an extreme! It's just silliness at this point. If someone wants to come in and give better numbers than my rough estimates, please do.)
« Last Edit: January 17, 2011, 10:54:47 am by Mouse »

Offline Helrekkr

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Re: Optimum Route to 35
« Reply #4 on: January 17, 2011, 10:49:08 am »
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I think someone mentioned a 9k xp per tick cap though. So retiring for the xp boost becomes moot after a certain number of gens.

Offline FICO

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Re: Optimum Route to 35
« Reply #5 on: January 17, 2011, 10:49:32 am »
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munchkin...
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Offline Quirian

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Re: Optimum Route to 35
« Reply #6 on: January 17, 2011, 10:49:58 am »
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Nice post :)

Offline Christo

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Re: Optimum Route to 35
« Reply #7 on: January 17, 2011, 10:55:23 am »
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A very informative post.
Thank you!
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Offline Mouse

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Re: Optimum Route to 35
« Reply #8 on: January 17, 2011, 10:59:08 am »
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I think someone mentioned a 9k xp per tick cap though. So retiring for the xp boost becomes moot after a certain number of gens.

If that cap includes the victory multiplier, then retiring 8 times (9th generation) would allow you to hit the 9k XP per tick cap on a 5x multipler.

Offline Gorath

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Re: Optimum Route to 35
« Reply #9 on: January 18, 2011, 04:10:58 am »
0
Thanks Mouse!  I've been debating how to get to 35 most effectively and after hearing about all of the guys in vent getting the xp bonus pretty much figured I'm going to have to retire, but now I know how many times.

Much appreciated bro.
And I should be nice or polite to anyone.... why exactly?

Offline Leshma

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Re: Optimum Route to 35
« Reply #10 on: January 18, 2011, 02:51:14 pm »
-1
Gorath is grinding lvls  :shock:

Offline Welcome_To_Hell

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Re: Optimum Route to 35
« Reply #11 on: January 18, 2011, 03:25:16 pm »
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Dammit, I am still generation 1  :mad:

I never retired  :mad:

Offline Kharn

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Re: Optimum Route to 35
« Reply #12 on: January 18, 2011, 08:31:43 pm »
0
11      109,230
12      138,176
13      173,348
14      215,963
15      267,462   
16      329,551
17      404,249
18      493,942
19      601,447
20      730,090
21      883,793
22    1,067,180
23    1,285,698
24    1,545,760
25    1,854,911
26    2,222,029
27    2,657,547
28    3,173,724
29    3,784,960
30    4,508,158
31    5,363,154
32    6,373,214
33    7,565,622
34    8,972,355
35   10,630,881
36   12,585,087
37   14,886,360
38   17,594,851
39   20,770,945
40   24,526,984


Uhhhhh... Has this changed with update?

It should be  "Double your characters EXP and you will grow 4 levels"

Check my math on retirement    http://forum.c-rpg.net/index.php/topic,1203.msg17069.html#msg17069
« Last Edit: January 18, 2011, 08:34:22 pm by Kharn »
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Offline Braeden

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Re: Optimum Route to 35
« Reply #13 on: January 18, 2011, 08:34:15 pm »
0
Changed tons.

31: 8,892,403
32: 17,784,806
33: 35,569,612
34: 71,139,224
35: 142,278,448

I.E. 33 is harder than old 40. By a lot.

Offline Erika_Furudo

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Re: Optimum Route to 35
« Reply #14 on: January 18, 2011, 10:21:54 pm »
0
Also: In before chadz nerfs the exp bonus.