[Sticky] Collection of Formulas for Dark Summoner

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[Sticky] Collection of Formulas for Dark Summoner

Post by krisirk on Fri Sep 21, 2012 12:36 am

I posted this in the Dark Summoner Wikia as well, but figured it might be good here too.

Formulas for Evolution Cost
Evolver = The monster to be evolved
Sacrifice = The monster being sacrificed

Rank A Evolution Cost = 30,000 - ( Evolver * 100 )
Maximum Evolution Cost is with a Level 1 Evolver = 29,900 Gold
Minimum Evolution Costis with a Level 60 Evolver = 24,000 Gold

Rank AA Evolution Cost = 1,120,000 - ( Evolver * 9,900 ) - ( Sacrifice * 900 )
Maximum Evolution Cost is with a Level 1 Evolver and Sacrifice = 1,109,200 Gold
Minimum Evolution Cost is with a Level 100 Evolver and Sacrifice = 40,000 Gold
_______________________

Normal Sacrifice Cost
As you can see above, leveling an AA up a bit before evolving it can save you a lot of gold. Unfortunately, sacrifices cost more gold the higher you level your monster. The formula above shows that for every level the Evolver raises, the cost for the evolution decreases by 9,900 Gold.
Therefore, we want to level the monster up only while the cost of leveling is less than the decrease in evolution cost. I've found that sacrificing 10 junk cards usually raises my monster level by about 2, so we would want the cost of sacrificing those 10 cards to be less than 19,800 Gold.

The cost to sacrifice 10 cards at a time is: Cost = ( Monster Level + 1 ) * 550. Solving for the cost to be equal to 19,800 gives level 35. However, TzaGear pointed out that I didn't include the opportunity cost of selling those monsters. If you use the 4 BP monsters that come from Area 4, you miss out on selling them and Gaining 4,000 gold. Using this, the most cost effective leveling strategy for AAs before evolution is to bring them up to level 27.

From this I found that it is most cost effective for you to level your AA monster up to level 27 before evolving it. Any less and you spend more for the evolution, any more and you are spending more for the leveling than you would have for the evolution.
__________________________

BP vs Stat Total
Monsters have three main stats, Attack, Defense, and Hit Points. The sum of the three is called the stat total.
For every rarity level (A, A+, AA, AA+) the BP of the monster determines what the stat total will be at its maximum level.

Rank A Stat Total = 7,347 + ( BP * 403 )
Rank A+ Stat Total = 8,866 + ( BP * 434 )

For Rank A and A+ these formulas hold for all BP levels that I've seen.

For Rank AA and AA+ however, the formula only works up to a BP of 33. BP 34 seems to be a special case, and I'll show how it is different after the formulas.

Rank AA Stat Total = 11,935 + ( BP * 465 )
Rank AA+ Stat Total = 17,980 + ( BP * 620 )

From these formulas you can see that there is a base stat total and each BP raises it by a certain amount. This amount is the same for all levels of BP up to 33. Once you get to BP 34 the AA+ only raises by 575 over BP 33. It turns out I mistyped the data for the 34 BP dragons, they do fit in with the equation.

Knowing the stat total gives you some additional information. From analyzing all my monsters I've found that any individual stat is a maximum of 42% of the stat total, and a minimum of 25.7% of the stat total. Updated below.

Thanks to a post by Blah, I was able to find that each individual stat falls into one of six "classes". The top class is 41.936% of the stat total. The bottom class is 25.806% of the stat total. Each successive class increases by 3.226 points.
Class% of Stat Total
641.936%
538.710%
435.484%
332.258%
229.032%
125.806%

This knowledge allows us to know what the maximum possible stats are for each BP and Rank combination.

AA+ BP and Stat Table
AA+ BPAA+ Stat TotalStat MaximumStat Minimum
3439,06016,38010,080
3338,44016,1209,920
3237,82015,8609,760
3137,20015,6009,600
3036,58015,3409,440
2835,34014,8209,120
2533,48014,0408,640
1627,90011,7007,200

AA BP and Stat Table
AA BPAA Stat TotalStat MaximumStat Minimum
3427,74511,6357,160
3327,28011,4407,040
3226,81511,2456,920
3126,35011,0506,800
3025,88510,8556,680
2824,95510,4656,440
2523,5609,8806,080
1619,3758,1255,000

A+ BP and Stat Table
A+ BPA+ Stat TotalStat MaximumStat Minimum
3021,8869,1785,648
2921,4528,9965,536
2821,0188,8145,424
2720,5848,6325,312
2620,1508,4505,200
2519,7168,2685,088
2419,2828,0864,976
2318,8487,9044,864
2218,4147,7224,752
2117,9807,5404,640
2017,5467,3584,528
1917,1127,1764,416
1816,6786,9944,304
1716,2446,8124,192
1615,8106,6304,080
1515,3766,4483,968
1414,9426,2663,856
1314,5086,0843,744
1214,0745,9023,632
1113,6405,7203,520
1013,2065,5383,408

A BP and Stat Table
A BPA Stat TotalStat MaximumStat Minimum
3019,4378,1515,016
2919,0347,9824,912
2818,6317,813 4,808
27 18,228 7,644 4,704
26 17,825 7,475 4,600
25 17,422 7,306 4,496
24 17,019 7,137 4,392
23 16,616 6,968 4,288
22 16,213 6,799 4,184
21 15,810 6,630 4,080
20 15,407 6,461 3,976
19 15,004 6,292 3,872
18 14,601 6,123 3,768
17 14,198 5,954 3,664
16 13,795 5,785 3,560
15 13,392 5,616 3,456
14 12,989 5,447 3,352
13 12,586 5,278 3,248
12 12,183 5,109 3,144
11 11,780 4,940 3,040
10 11,377 4,771 2,936
_________________________

Linear vs Exponential Stat Increases per Level
A/A+ monsters gain stats each level in a linear fashion. That means that each individual stat increases the same for each level gained.
AA/AA+ monsters are a bit trickier. They gain stats in an exponential fashion. This means that each individual stat increases a little bit for each level gained at first, and increase more and more with subsequent level gains. This makes AA/AA+ monsters seem to hardly get stronger during the initial level increases. In fact, the midpoint for AA monster stat increases is level 67 while I assume the midpoint for AA+ monsters would then be level 100.

Note: The following applies to AA monsters but I don't have any AA+ monsters to test, so it might be different for them.

The percentage of maximum stat increases can be calculated by the following formula.

% of Maximum Increase = 0.0000729 * Level ^ 2 + 0.00274 * Level - 0.00281

_______________________________________________________________________

NEW! EP and BP Skill Resets via Allies

Since the weekly events tend to use either EP or BP it is often advantageous to try to increase whichever one is relevant to the event. One way to do this is through purchasing a skill reset, but those cost 3000(!) Soul Points.

However, there is another way. Whenever you add an ally, you get 5 Skill points that you can distribute however you like between EP and BP. When you remove this ally, the Skill points will be removed. They aren't necessarily removed from the same skill that you added them to though.

When allies are removed the game tries to balance out the EP and BP remaining so that BP is 60 more than EP. This means that if you were maxxed out in BP and hadn't contributed anything to EP, when you remove all your allies your BP would decrease until it was 60 more than your EP. Further ally removals would decrease BP and EP evenly.

When you begin the game you start with 20 EP and 80 BP. Each level gives you 3 Skill points to distribute between these two. From this we can determine minimum amount of BP and EP that you can have when you remove all your allies by knowing your level.

Thanks to Trakt for figuring out the EP-BP relationship.

After removing all allies:
Minimum EP = ( Level * 1.5 ) + 18.5
Minimum BP = ( Level * 1.5 ) + 78.5



I'll add more formulas as I come up with them. Feel free to ask any questions.

Kris


Last edited by Zamiel on Thu Nov 01, 2012 9:29 pm; edited 22 times in total (Reason for editing : Fucking Word Substitutions)

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Trakt on Fri Sep 21, 2012 1:40 am

Excellent post Kris.

The part about AA evolution will really help out when I get to evolving my Casts

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by blah on Fri Sep 21, 2012 5:57 am

As a comment about the individual stat distributions:

There are basically 6 rankings(due to round off error, some of the 30 bp monsters have slightly different(to about 5 decimals)) on the percentage of max stat.

Basically, every monster can be:

Very Good
Good
Better
Worse
Bad
Very Bad

in a particular stat(I made up names, but there is no perfect 33% distribution).

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by TzaGear on Fri Sep 21, 2012 6:29 am

1. Are you accounting for the value of the monsters being sacrificed?

For example, lets say you are using the 4:4 method of monster leveling, that is going to area 4 and doing mission 4. The monsters it produces are 4 BP.

Now these add a cost of 4k gold to each sacrifice of 10. Then you are looking at a Cost = (( Monster Level + 1 ) * 550 + 4000) which is level 27 rather than 35.



2. I have observed a relationship that I may be mistaken about. This is my first time putting it into words so I can rephrased if I fail to convey the idea.

Monsters require more experience to level for each level.

They gain experience from sacrifices.

Sacrifice experience comes in two sources.

First source is the total BP of the sacrificed monster(s).

Second sources is the total gold spent on the sacrifice.

This explains the relationship between single vs bulk sacrifices.

The increase in required experience per level is initially covered by the increase in gold cost but the difference is more noticeable at higher levels. This, I believe, is due to the exp per level for the monsters is exponential and the cost per sacrifice is linear.

Does that make sense? Anything need clarification? Or am I wandering the halls of false correlation?





Last edited by TzaGear on Fri Sep 21, 2012 7:15 am; edited 1 time in total (Reason for editing : Tenses are dumb.)

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by krisirk on Fri Sep 21, 2012 11:05 am

From what I have observed, the sacrifice cost is actually completely independent of the BP of either the monster leveling up or the monsters being sacrificed.

As far as level gain from sacrifice, I agree with you. The amount of gain from a 10 monster sacrifice does decrease as your monster gains levels. The ballpark figure of two levels for a 10 monster sacrifice holds true around level 35, which is how I figured out the cost/efficiency of evolution vs leveling for the AA/AA+.

Keep in mind though that my only experience with AAs is with the Rot Cast from the current event. It is possible that other AAs behave differently. I'd love to see some data from others who have had more experience with the higher rarity monsters.

Kris

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The AA/AA+ acheivement

Post by spacecityd on Fri Sep 21, 2012 2:26 pm

what about the AA/AA+ achievement reward for having found 5 or more monsters of AA/AA+ rank. The reward "Increase monster Exp. by 1 when sacrificing"? I do not have this reward, but seems like every 1 monster sac = 1 level up, so 10 sac=10 level up?


Last edited by spacecityd on Fri Sep 21, 2012 3:19 pm; edited 1 time in total (Reason for editing : color)

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Event Horizon on Fri Sep 21, 2012 2:33 pm

Very nice work. Great guide.
Why'd the above guy post in black? Can't see it without highlighting. lol

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by krisirk on Fri Sep 21, 2012 3:45 pm

Blah,

Thanks for the info on the stat level "classes". I just looked more closely at my stats and I think I've found the formula for the six stat levels. I'll update my first post with the information.

Spacecityd,

I'm not sure how that achievement works either, my AA list stands at just one monster so far.

Kris

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by blah on Fri Sep 21, 2012 3:51 pm

Also, I just looked up the stats online, at the bestiary, and it appears the 34 bp AA/+ dragons do follow the trend. It may just have been some poor math or a typo somewhere.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by krisirk on Fri Sep 21, 2012 4:13 pm

blah wrote:Also, I just looked up the stats online, at the bestiary, and it appears the 34 bp AA/+ dragons do follow the trend. It may just have been some poor math or a typo somewhere.

I got most of my numbers by looking at the stats on auctions. The AA+ at level 34 all had a stat total of 38,880, while the level 33 had a stat total of 38,440.

Could someone verify some 34 BP max stats for me? I have the following info:
Banished Dragon +, 13,680 ATK, 12,600 DEF, 12,600 HP
Gold Gorger Dragon+, 13,680 ATK, 15,120 DEF, 10,080 HP
Wingarm Dragon +, 13,680 ATK, 10,080 DEF, 15,120 HP


Looking at the numbers, if I use 13,860 instead for the ATK value, the formula works perfectly.

Update: I've corrected my incorrect numbers in the first post. The 34 BP AA+ monsters do have an attack of 13,860, not 13,680 as I had written down.

Kris


Last edited by krisirk on Tue Sep 25, 2012 1:00 am; edited 2 times in total (Reason for editing : clarity)

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by kyan on Fri Sep 21, 2012 7:51 pm

Its 13860 atk for new dragons. The AA achievement contributes so little that its virtually unnoticible. In aggregate leveling from 1-70 than you'll notice the difference particularly at the later levels with the achievement bonus. I haven't done careful tracking of it. Maybe next time when I level something I will. Oh btw, the bonus is x amount of xp not levels. 10 sac does not equal to 10 level up.

Just curious how you came up with the sacrifice number for AA Kris, if you only ever evolve one. I'm not disputing it, it seems right from what I recollect of evolving my AA.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by krisirk on Fri Sep 21, 2012 8:05 pm

kyan wrote:Its 13860 atk for new dragons.

Thanks for the update, I've struck out the misinformation about BP 34 from my first post. I'm impressed that I was able to mistype all three dragons when I put them into my spreadsheet! It must have been a dyslexic moment.

kyan wrote:Just curious how you came up with the sacrifice number for AA Kris, if you only ever evolve one. I'm not disputing it, it seems right from what I recollect of evolving my AA.
kyan

I actually haven't even evolved my AA, I don't have enough gold. I calculated it by finding out the cost, leveling the monster, and finding out the cost again. Once I had a enough data points it was just a matter finding an equation that fit. If anyone wants to test it out and tell me if it's right or wrong I'd appreciate it.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by TzaGear on Fri Sep 21, 2012 8:45 pm

krisirk wrote:From what I have observed, the sacrifice cost is actually completely independent of the BP of either the monster leveling up or the monsters being sacrificed.
That is not what I meant at all. I apologize for not being more clear.

I am aware that the sacrifice cost is calculated by the level of the eater of sacrifices.
Code:

Cost to sacrifice =
n ( 105 - 5n) ( L + 1 ) 

where
n = # of monsters sacrificed
L = Level of Eater, or monster to be powered up

Disclaimer: To all reading -- The best way to explain what I mean will require an inaccurate example. These values are in no way accurate to the game. This example is far from accurate as it is an exaggeration of what I have observed to help me better explain it to others. No testing to this exact example was done, so going and trying to mimic the results and complaining would just make you look rather derpy. As soon as myself or others have figured out the accurate values, should this be the circumstances by which things operate I will edit this post.


To start with we are going to pick a level, I am going to go with level 10.

Now lets say, for this illustration, that it takes 40 experience to get from level 10 to 11.

And for the sake of... simplicity seems like the wrong word, but congruity works I am going to use the formula for experience per level of L ( 7 L + 10) / ( 3 L -10 ) for slowly progressing exponential growth in requirement. Doesn't really extrapolate well but seems to follow lead for level 10, 20, and 30. As I stated, this still needs to be derived.

Now lets assume that the amount of experience you get from a monster is equal to its BP. While the exact nature of the BP:exp relationship is likely not this simple the wisdoms show that there is definitely a direct relationship.

Here is the part that I seemed to have had trouble explain. Lets now assume that the amount of gold spent also relates to the experience received from a sacrifice. For this illustration, I have decided to use 1% and hope it works the way I am thinking.


Table of n for Level 10 @ 1% Gold to Exp

A-1
_# of Monsters__Cost__Experience_
1110011
2209021
3297030
4374037
5440044
6495050
7539054
8572057
9594059
10605061
n ( 105 - 5n) ( 10 + 1 )

Well that was a bit silly, forum formatting is less than fun. Now add in the experience from BP and you can see the diminishing returns of max party sacrifices versus sacrificing a single monster. If you also account for the experience per level being an exponential equation then you can see where the eventual curve overtakes the linear experience from sacrificing.

With the BP to experience, using BP 4 monsters, included you are looking at single sacrifices giving 15 exp, where as the average experience per bulk (at 10) sacrifice to be 10 each. While this shifts a great deal based on the BP on the monsters. On average, and this is a number that I have been able to quantify on more than one occasion, it will cost almost 6x as much gold for the same experience. (When the opportunity cost of a monster sold vs sacrificed is included in the numbers.)


I have more data, and am trying to get more concrete example of what I am describing, but I will stop here to clarify if needed before I continue.. I wrote this up while doing remote support so forgive if I was once again unclear. Here is a [You must be registered and logged in to see this link.] with a couple extracted tables from my main area of thinking that might help aid in understanding.

If you have any questions, ask away.



krisirk wrote:
As far as level gain from sacrifice, I agree with you. The amount of gain from a 10 monster sacrifice does decrease as your monster gains levels. The ballpark figure of two levels for a 10 monster sacrifice holds true around level 35, which is how I figured out the cost/efficiency of evolution vs leveling for the AA/AA+.
One factor you didn't seem to include in your cost analysis is opportunity cost of the monsters you are sacrificing. If you don't sacrifice them, you can sell them, that is a loss of income, thus a cost. While there are many ways to acquire/summon monsters for no cost, that doesn't mean that it isn't costing you by choosing to sacrifice instead of selling.



krisirk wrote:
Keep in mind though that my only experience with AAs is with the Rot Cast from the current event. It is possible that other AAs behave differently. I'd love to see some data from others who have had more experience with the higher rarity monsters.
Fair enough, I too have limited experience with them and base most my calculations on extrapolation and observations from others. I do look forward to being able to get some of the data sorted out first hand.



Sidenote: In my early speculation on sacrificing, I had followed a line of thinking I read on a translated page. The idea there was that you get a reduction of the BP, and thus the experience, subsequent monsters in a sacrifice. For example, the first space gets full BP, the second space (which costs 90% of the first) gives 90% of its BP (rounded down but to a minimum of 1) to the cause, the third (costing 80%) gives 80% of its BP (rounded down but to a minimum of 1) to the cause, and so forth. The biggest flaw in this has that it didn't explain the decreased in gained experience at higher levels.


Last edited by TzaGear on Fri Sep 21, 2012 9:04 pm; edited 2 times in total (Reason for editing : Fixed link to spreadsheet. Fixed weird word replacement.)

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by TzaGear on Fri Sep 21, 2012 9:02 pm

krisirk wrote:
I actually haven't even evolved my AA, I don't have enough gold. I calculated it by finding out the cost, leveling the monster, and finding out the cost again. Once I had a enough data points it was just a matter finding an equation that fit. If anyone wants to test it out and tell me if it's right or wrong I'd appreciate it.
Kris

Formula checks out. I was a day behind on it, hadn't considered the food's level a factor until I saw it here. Matches data for multiple tests with casts and data from a level 21 Vlad evolution and 4 other AA evolutions at levels 12, 46, 50, 51.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by krisirk on Fri Sep 21, 2012 9:32 pm

TzaGear wrote:One factor you didn't seem to include in your cost analysis is opportunity cost of the monsters you are sacrificing. If you don't sacrifice them, you can sell them, that is a loss of income, thus a cost. While there are many ways to acquire/summon monsters for no cost, that doesn't mean that it isn't costing you by choosing to sacrifice instead of selling.
You are absolutely correct, I did not include the opportunity cost (in fact I didn't even think about it until you mentioned it). Your estimate of level 27 for the most cost efficient is a better one to use.


TzaGear wrote:I do look forward to being able to get some of the data sorted out first hand.
I think we all want to have the monsters first hand. Since I don't plan on putting any real life currency into this game, the Rot Cast may be my only experience with AA/AA+ for a long while.

TzaGear wrote:Formula checks out. I was a day behind on it, hadn't considered the food's level a factor until I saw it here. Matches data for multiple tests with casts and data from a level 21 Vlad evolution and 4 other AA evolutions at levels 12, 46, 50, 51.
Thanks for checking out the formula.

On the topic of exponential growth, I noticed that the AA/AA+ monsters don't increase in skill in a linear fashion like the A/A+ monsters. I've got an equation that shows you the percent of total increase vs level that I'll put in the first post. Perhaps that same growth curve is used in experience needed per level? Also, I wonder if the experience needed per level is the same for A/A+ vs AA/AA+ for any given level.

I think we have more questions than we started with.

Kris


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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by blah on Fri Sep 21, 2012 9:47 pm

krisirk wrote:
I think we have more questions than we started with.

Yup, the two hardest formulas in Dark Summoner to figure out are:

1. Sacrificing and its formula.
2. Combat system and damage dealt per hit given attack/defense stats.
2.5 Damage dealt by special skills(not really that hard after #2).

As a point, I would like to mention that with sacrificing, I have not had a monster level up less than 2 levels when sacrificing with 10 sized batches. Even at level 60-70(haven't tried with AA/+), I seem to gain at least 2 levels, even with 1 bp and 2 bp sac. fodder. Also, I find it difficult to gain exp beyond 1.5 times from level 1 with 1 monster sacrificed, even though 3 wisdoms did essentially level a 65 to 70.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by kyan on Fri Sep 21, 2012 10:57 pm

I haven't The wheel of fortune attention to the stat gain when leveling AA/AA+. I just assume its linear like A/A+. The cost for leveling is approximately the same to get to the same level for AA as for A.

@bleh. Yes, the minimim gain at sacrificing in bulk is 2 level from tracking level 2 AA+ to level 100. My estimate from casual observation with caveats of eyeballing level and higher level requiring more xp etc.. a bulk sacrifice give you 2+0.01(bp total of sacrifice) lv. Also explains the level gain from souls.

From observation, it doesn't look like xp needed per level is an exponential equation. The growth is too slow for that. Seems more along the line of xp+level or something like that. You level rapidly in the first 10 level or so and than its roughly the same all the way up to 100 hence a bulk sac of 10 gives at least 2 level. If I have more time, I'll see how much extra different achievement bonus gets you and see if I can estimate what the xp needed for leveling for the first couple of levels.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by TzaGear on Mon Sep 24, 2012 5:55 am

kyan wrote:
From observation, it doesn't look like xp needed per level is an exponential equation.

Fair point, shallow logarithmic growth with a return curve being out of the bounds of the gold per level growth cost would be far more accurate description. However for such a small sample that maxes out at 150 one can usually find a mathematical relationship in a exponential formula faster than one can the logarithmic function, and taking the time to work out the exponential can make finding the true logarithmic easier as it will be an inverse of the same function on a different base. Brevity is not a strength of mine and attempts at which lead to mistakes in phrasing. Sorry about that.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Event Horizon on Thu Sep 27, 2012 5:57 pm

This is a great guide.. but it should really be moved to Tactics. Where it is more visible. Too many topics here.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Event Horizon on Fri Sep 28, 2012 5:33 pm

I believe that I confirmed kyan's theory about sacrificing and lvl gain.
For a bulk sacrifice of ten monsters you gain: 2lvls+0.01(bp total of sacrifices)lvls.

How I tested:
2 100 BP Soul + 1 200 BP Soul + Random 7 additional Sacrifices = more than 6 lvls.
2 100 BP Soul + 1 150 BP Soul + Random 7 additional Sacrifices = little less than 6 lvls.
3 200 BP Souls + Random 7 Sacrifices = about 8 lvls.
4 200 BP Souls + Random 6 Sacrifices = about 10 lvls.

The final formula for sacrificing is probably something as simple as:
.2(number of monsters sacrificed)lvls+0.01(bp total of sacrifices)lvls
Feel free to test more.

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by verbalkintify on Mon Oct 01, 2012 10:24 pm

Unless I missed it, do you take into account the fact that leveling up either monster impacts the gold cost. For example sacing a lvl 1 to 27 will be more expensive than a lvl 27 to 27. Might change numbers a bit.

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Mixes ok

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Armitaage on Mon Oct 01, 2012 10:59 pm

Great guide, feel free to integrate information in the one in my sig, and I'll add a reference to this when I get a chance to do more.

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*needs testing with certain teams to ensure quality. also, monster data doesn't update itself without me logging on to manually add monsters, yet, so some of the newest monsters might not be available for use right away. Missing max lvl stats WILL affect final stats, so make sure to pm me with screenshots of it whenever you want to add data.
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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Event Horizon on Wed Oct 03, 2012 3:44 am

Minimum Energy (E) and Battle Points (BP) for your level (credit to Trakt):
Min E: 20 + (current level -1)*3/2
Min BP: 80 + (current level -1)*3/2

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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by Armitaage on Fri Oct 05, 2012 12:00 pm

Here is the generic formula for finding out how much gold it will cost to sacrifice N monsters when the target monster is lvl X:

Code:
Let X = Target monster's level
Let N = The number of sacrifices

(210*X*N+210*N-10*X*N*N-10*N*N)/2

since every successive sacrifice after the first sacrifice costs N-1 times 10% of the first sacrifice less than the first sacrifice. in other words, the second sacrifice costs 90% of the first, the 3rd 80% of the 1st, etc. this, therefore follows standard triangular number rules(a triangular number, for those who don't know, is a number that is the sum of all the numbers from 1 to n. examples of triangular numbers include 3, 6, 10, and 15.)

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[You must be registered and logged in to see this link.], [You must be registered and logged in to see this link.] & [You must be registered and logged in to see this link.] by yours truly


*needs testing with certain teams to ensure quality. also, monster data doesn't update itself without me logging on to manually add monsters, yet, so some of the newest monsters might not be available for use right away. Missing max lvl stats WILL affect final stats, so make sure to pm me with screenshots of it whenever you want to add data.
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Re: [Sticky] Collection of Formulas for Dark Summoner

Post by kyan on Tue Oct 09, 2012 8:11 am

krisirk wrote:
Linear vs Exponential Stat Increases per Level
A/A+ monsters gain stats each level in a linear fashion. That means that each individual stat increases the same for each level gained.
AA/AA+ monsters are a bit trickier. They gain stats in an exponential fashion. This means that each individual stat increases a little bit for each level gained at first, and increase more and more with subsequent level gains. This makes AA/AA+ monsters seem to hardly get stronger during the initial level increases. In fact, the midpoint for AA monster stat increases is level 67 while I assume the midpoint for AA+ monsters would then be level 100.

Note: The following applies to AA monsters but I don't have any AA+ monsters to test, so it might be different for them.

The percentage of maximum stat increases can be calculated by the following formula.

% of Maximum Increase = 0.0000729 * Level ^ 2 + 0.00274 * Level - 0.00281

I'll add more formulas as I come up with them. Feel free to ask any questions.

Kris

AA+ follows a different formula. Its also an exponential equation but have different coefficients. The formula I came up with for calculating level stat of AA+ base upon lv1 stat and max stat which is often available on the bestiary is

stat at lv x = (0.0032x^2+.1853x-.1876)/100*(max stat-lv1 stat)+lv1 stat

You're right Kris that half maximal % is reach at ~lv100 for a AA+.

The formula for AA and AA+ has been incorporated into the party calculator. If its inaccurate, hopefully someone will reported it there.

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Last edited by kyan on Sun Nov 04, 2012 12:09 am; edited 2 times in total

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Re: [Sticky] Collection of Formulas for Dark Summoner

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