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Been on 25mg of MK677 every afternoon at 2pm for about 40 ish days so far and I have had some pretty decent results as a whole. One thing I can say is that I’ve had to get 3 haircuts throughout the whole cycle. I have naturally very fast growing nails and hair but it definitely did something because in that time frame I usually only get 1 haircut. I can also say that my skin as a whole has gotten slightly better. Overall I’ve gained a few pounds from eating so much after I get home. Pumps go crazy too.
This will be a long nerdy post with a lengthy explanation of Magic Find mechanics, including math and graphs. (18 graphs, 4280 words, 20342 characters).
If you don’t want to read this wall of text, you can Ctrl+F and search for TLDR
- This Post is meant as an Advanced Guide to Magic Find. You should already be familiar with the basics of Magic Finding before continuing with this post. Or if you like nerdy Diablo stuff, go right ahead.
- This Post delves into the mathematical formulas and code behind Magic Find. It’s NOT about “clear speed vs MF” or “best place to farm X item” or “full zones clearing vs elite sniping” or anything like that.
- Its purpose is to provide a comprehensive overview of Magic Find mechanics. This is a summary of Magic Find knowledge so you, the player, would have more understanding on how it all works.
Frequently, people inquire about the optimal amount of Magic Find. The typical response is that more Magic Find is generally better, but there are diminishing returns. Often, an EffectiveMF graph is referenced to illustrate this point. For example, one of such posts from a month ago.
However, relying solely on EffectiveMF graphs and diminishing returns can be highly misleading! Effective Magic Find is just one small component of the overall Magic Find formula!
The Complete Magic Find formula takes several values from the game into the account when calculating your chances to get Unique / Set / Rare / Magic items. The final results are intricate and influenced by various factors. it is not as simple as this graph
: https://preview.redd.it/7uwnr9sa1n2b1.png?width=792&format=png&auto=webp&s=563dcea5172691d997c4c5c59f5e9905a009dae2 Why is this graph misleading?
What does it actually tell us? Effective Magic Find grows Logarithmically, it has diminishing returns! Great! So, what does that mean? How does Magic Find and EffectiveMF actually affect our chances to get Unique, Set, Rare items? How many rare items do we get with 100 MF vs 500 MF? EffectiveMF for blue Magic Items grows linearly. Great, but what does that mean? How many more Magic items do we get?? Is there a limit to MF? This graph doesn’t tell us much unless you are very knowledgeable about the Magic Find process! To answer all these questions, I have developed my own Drop Calculator with some advanced functions that showcase the actual distribution of items based on player Magic Find stat.
My Drop Calculator takes into account all possible variables of the Magic Find function and displays the results in nice Graph form. Before showing the Item distribution graphs, I will first try to explain the complete MF Formula.
Selecting the Base Item
Selecting the Base Item is the initial step before the game applies the Magic Find formula to determine the magic quality of the item (Unique, Set, Rare, Magic). Examples of Base Items are: Diadem, Shako, Short Sword, Long Staff, Mage Plate, Sacred Armor etc.. Magic Find has no effect on Base Item selection!
The Base Item is decided through Treasure Class selection and random roll mechanism. It is a fairly complex topic and deserves a post on its own. I won't go to much into details since Treasure Class selection is not the main focus of this post, but in short:
Each monster in the game from Act Bosses through Elite Packs to white trash monsters is assigned a “Treasure Class”. A Treasure Class is essentially a group or collection of items that can drop from that particular monster. There are many different TCs in the game typically comprising combinations of Item Drops (Base Items), Gold Drops, Junk Drops, Rune/Jewelry/Charm Drops, and NoDrop (indicating that no item will drop).
With random rolls, the game determines the type of item that the monster will drop, be it equipment, potion, rune, gold, etc. Once the item type is established, the game then checks if the item can be upgraded to Unique, Set, or other rarities. For the purposes of further discussion about Magic Find formula, we will assume that the game has selected an equipable item (Base Item, be it a Weapon or Armor). So what happens next? How does the game decide which quality to drop?
Selecting the Item Quality
Now that the game has the Base Item (Diadem, Shako, Mage Plate, etc.), two functions are called one after another to give the Base Item a specific quality. (There is some other stuff in between these two functions but this is the gist of it). Functions are pseudonym named: RollMagicQuality
(or MakeItemSet, MakeItemRare etc. depending on the roll from RollMagicQuality function). RollMagicQuality function is the main function
that determines if the items will be a Unique, Set, Rare, Magic item. But let's first talk about MakeItemUnique: MakeItemUnique
(or Set, or Rare, or Magic) function confirms the roll from RollMagicQuality and double checks if the selected Base Item can drop as a Unique item. This is where you get those “Failed Uniques” as triple durability Rare item drops.
The MakeItemUnique function also determines which Unique item will drop if there are more Unique items for the selected Base Item. It adds up the Rarity value from the UniqueItems.txt file and rolls a random number to pick a Unique item. Examples are Tyrael’s or Templars Armor for Sacred Armor, The Cranium Basher or Earth Shifter for Thunder Maul, Azurewrath or Lightsabre for Phase Blade, etc.. Selection is fully random and can not be influenced by the Player. There are 3 ways that Unique Item can fail to pass the MakeItemUnique check:
- A Unique item will fail to roll if the Quality Level (qlvl) is higher than Item Level (ilvl). Quality Level refers to Level value from UniqueItems.txt file and its fixed. Each Unique item has a predetermined fixed Quality Level. Item Level is a different stat, basically ilvl is a level of the monster that dropped the item. When ilvl is lower than qlvl, a Unique item will fail to drop! Example of this is: Arachnid Mesh can not drop from Pindleskin! Qlvl of Arachnid Mesh is 87, Pindleskin is a level 86 monster that drops items with ilvl 86. Since qlvl of Arachnid Mesh is 87 and always higher than ilvl of Pindle items, Base Item Spiderweb Sash will never be a Unique item.
- A Unique item will fail to roll if Base Item has no Unique version. The Item can pass a Unique check of RollMagicQuality function, but MakeItemUnique is the one that actually makes the item Unique. If there is no Unique version of the selected Base Item, the Base Item will fail this roll. Examples of this would be the Unique Archon Plate. There is no Unique Archon Plate, so every time the Base Item AP drops and passes the RollMagicQuality check for Unique item, it will drop as a Rare item with triple durability.
- A Unique item will fail to roll if the same Unique item has already dropped in the current game session. Everytime the MakeItemUnique function makes the Unique version for a selected Base Item, it logs the Unique drop in a special List of dropped Unique items. The function checks the List every time it tries to roll a Unique item. If the Unique item is already on the list, the selected Base Item will drop as a Rare item with triple durability.
Base Item needs to pass all 3 checks of this function for the item to successfully drop as a Unique Item! Same thing applies for MakeItemSet, only now the Failed Set Items drop as a Magic Items with double durability. Before the MakeItemUnique function is called, the Base Item needs to pass the RollMagicQuality selection.
RollMagicQuality Function RollMagicQuality is where the magic happens!
(pun intended!). RollMagicQuality is the function that actually picks the quality of the Base Item, based on your "% Better Chance of Getting Magic Item" stat and other variables in the game. This function determines your Unique / Set / Rare / Magic / etc probability.
Based on your %MF and other variables, RollMagicQuality function will first try to roll for a Unique item. If that random roll is lower than a certain number, the Base Item will not be a Unique item and RollMagicQuality will try to roll for a Set item. If that fails, the function will try to roll for a Magic item and so on.
The order for selecting Item Quality is always: Unique > Set > Rare > Magic > Superior > Normal.
This order will be very important later on. If the Base Item passes one of these checks, the RollMagicQuality function stops and the above-mentioned MakeItemUnique(or MakeItemSet, or MakeItemRare, etc) will be called. Step by step walkthrough on how RollMagicQuality function actually works.
After the explanation, I will use my Drop Calculator to showcase the drop rates of different quality items based on Player Magic Find. Step 1) Chance = (BaseChance - floor((ilvl-qlvl)/Divisor))*128
This is the code of the Magic Find Formula. Game reads the required values from a few sources, the main one, and the most important is itemRatio.txt file.
This file determines your drop rates of Unique, Set, Rare and Magic items more than your Magic Find stat!
- BaseChance = value from "Unique/Rare/Set" column from itemRatio.txt
- ilvl = "item level" is level of a monster that dropped the Base Item
- qlvl = “quality level” value from "level" column from Armor.txt and Weapons.txt
- Divisor = value from "Unique/Rare/Set Divisor" column from itemRatio.txt
- Floor = division of integers, result is rounded down. (that is how the game works)
- 128 = multiplier for better precision.
and values within it are extremely important. The game utilizes different values depending on the Type of the Base Item.
In other words: Class Specific items, Exceptional/Elite and Normal items have different chances to become Unique items.
If we look at itemRation.txt we can see 6 rows:
From this, we can conclude that there are 3 types of different Base items:
- 1st Row refers to Normal items from Classic Diablo.
- 2nd Row refers to Exceptional/Elite items from Classic Diablo (there are no such items so we can ignore this row)
- 3rd Row refers to Normal items from Expansion.
- 4th Row refers to Exceptional/Elite from Expansion (has same values as 3rd Row)
- 5th Row refers to Class Specific Normal items
- 6th Row refers to Class Specific Exceptional/Elite items. (has same values as 5th Row)
Normal Base Items, Exceptional/Elite Base Items, Class Specific Items. When the Base Item drops, the game checks item version values from weapons.txt and armor.txt and class specific values from itemTypes.txt. Based on those values, the game loads required BaseChance and Divisor values needed for the Magic Find formula and calculates your Chance: Chance = (BaseChance - floor((ilvl-qlvl)/Divisor))*128 Step 2) Chance= floor(100*Chance/(100+EffectiveMF))
After the first step, the game adjusts your chances with EffectiveMF
. EffectiveMF is calculated with the formula: EffectiveMF=floor(Factor*(MF-100)/(Factor+MF-100))
- Factor is: 250 for Unique items, 500 for Set items and 600 for Rare items
- MF is: your Characters Magic Find that is your "% Better Chance of Getting Magic Item" from your items with added values of 100: Magic Find = Better Chance of Getting Magic Items + 100. You basically have a base MF value even with 0% BCoGMI stat on items. EffectiveMF is only calculated if you have more than 10% Better Chance of Getting Magic Item but that's not really that important.
This is where that intial Graph comes from. It shows the EffectiveMF with diminishing returns. Here is the Graph again in more detail: https://preview.redd.it/y3t2x7pd1n2b1.png?width=1408&format=png&auto=webp&s=0f1e43f98d5de4c9ba6a4652cc1a793cfa5755d6 Here, we can see something interesting for the first time in this post
. Graph is NOT continuous but has rather discrete jumps. This is the result of the game using integer division for its calculation. For example:
- You have 697% Better Chance of Magic Items on your gear. To calculate the EffectiveMF for Unique drops, you first add 100 to get Character Magic Find and then use this formula: floor(250*(797-100)/(250+797-100)) = 184% EffectiveMF for Unique items
- You get two more Small Charms with 7% mf and now you have 711% Better Chance of Magic Items on your gear. EffectiveMF for Unique items is now: floor(250*(811-100)/(250+811-100)) = 184% EffectiveMF for Unique items! Exactly the same!
Going from 697 MF on your gear to 711 MF on your gear did nothing to improve your chances of getting Unique items. There are “Break Points” for Magic Find!
So, the game calculates your EffectiveMF and uses that value to get your new Chance: Chance= floor(100*Chance/(100+EffectiveMF)) Step 3) Chance=max(Chance,minChance)
Where the minChance is the value from the "UniqueMin" column from itemRatio.txt
. Game checks if you have reached the maximum Chance for selected rarity. There is an upper limit on how many Unique, Set, Rare, Magic items you can get even with millions and millions of Magic Find on Hero Edited items!
That limit is unreachable for Unique items with standard game gear. But it is easily accomplished for Set, Rare and Magic items. Effects of this upper limit will be seen later in the Graphs. Step 4) FinalChance=Chance-floor(Chance*QualityFacto1024)
Game adjusts your chances once again based on the QualityFactor of the monster that dropped the Base Item. Higher the QualityFactor of the monster, the better chance you have of getting Unique, Set, Rare, Magic items from that monster. This QualityFactor has a huge influence on your overall chances
QF of 1024 means that ALL dropped Base Items will roll that quality and QF of 600 means that 4.8% of dropped Base items will become the desired quality at best. Here is the table with all monsters that have specified QualityFactors: https://preview.redd.it/3j1hx4te1n2b1.png?width=587&format=png&auto=webp&s=4089a11e6ae143aa850130e038109c0212740121
You can see that Andariel has the highest QF of them all. That is because of “Quest Bug” that now became a feature in D2R. Act Bosses also have high QualityFactor. QF of 1024 for Magic items means all these monsters will always drop at least a Magic item and won't drop standard White items. Final Step 5) random(FinalChance)<128 than: item is Unique
Game randomly rolls a number between 0 and your FinalChance. If that number is lower than 128 then the selected Base Item will become an Unique item
and the above-mentioned MakeItemUnique function is called to double check if the selected Base Item can become an Unique.
If the randomly rolled number is higher than 128, selected Base Item fails and the game goes back to Step 1 and redos the process all over again for Set Item check. If that fails, the game redos the process for Rare Item check and so on. Again, the order for selecting Item Quality is always: Unique > Set > Rare > Magic > Superior > Normal. Now that we know the process, let's look at one example:
Let’s say you have 500 Magic Find on your gear, you just killed Hell Baal and the game dropped you a Diadem as a Base Item. What is the chance for that Diadem to be a Unique Diadem (Griffon’s Eye)?
Lets go step by step while looking at itemRatio.txt file:
- Chance = (BaseChance - floor((ilvl-qlvl)/Divisor))*128. Diadem is an Elite Expansion item, so BaseChance will be 400 and Divisor will be 1. Qlvl of Diadem is 85 and ilvl is 99. Chance = (400 - floor((99-85)/1))*128 = 49408
- Chance= floor(100*Chance/(100+EffectiveMF)). To calculate EffectiveMF we use =floor(250*(600-100)/(250+600-100)) = 166 Now we can calculate the Chance= floor(100*49408/(100+166)) = 18574
- Chance=max(Chance,minChance) minChance for Elite Expansion items from itemRation.txt is 6400. Our number is higher so we use 18574
- FinalChance=Chance-floor(Chance*QualityFacto1024). The QualityFactor of Hell Baal is 983. So we now have: FinalChance=18574-floor(18574*983/1024) = 744
- random(FinalChance)<128. we randomly roll a number between 0 and 744 and compare it to 128. It's basically: 128/744 = 0.1720430108
Everytime you kill Hell Baal with 500 Magic Find on your gear and it drops a Diadem, you have a 17.204% chance for that Diadem to be a Griffon’s Eye
. With 100 Magic Find on your gear you have 11.063%
chance for that Diadem to be a Griffon’s Eye. Going from 100 MF to 500 MF will increase your Unique chance by 6.141%!
Graphs, Graphs, and more Graphs
Now that we know how to calculate our Unique chances, it's time for some Graph! Please keep in mind, these graphs do not show your chance to get a specific item. These graphs show your chance for the Base Item to become an Unique item based on your Magic Find on your gear!
Drop Calculator goes through the complete Treasure Class list for the selected monster, pulls all Base Items that can drop and their probabilities, goes through all necessaries files like treasureclassex.txt, itemRation.txt, weapons.txt, armor.txt, itemTypes.txt, uniqueItems.txt and gets all needed values we talked about and calculates the probabilities for each point of Magic Find and for more or less, each monster in the game… But let's start with something simple: Chance for a Base Item to become an Unique item (Boss) Above graph shows the chance for a Base Item to become an Unique item when killing the Act Boss
(Duriel, Mephisto, Diablo, Baal). Nothing abnormal here. The more Magic Find you have on your gear the better chance you have for a Base Item to become an Unique item. With 300 MF you have a pretty high chance to get a Class Specific Unique item at 25%! Here are some key details:
- We still have Break Points. There are discrete jumps in the graph. The more MF we have, the more we need for the next jump.
- With 0 MF you still have 6.7% chance for a Normal/Exceptional/Elite Unique Item and 11.2% chance for a Class Specific Unique item.
- With 167 MF you have double (x2) the amount of Unique items then with 0 MF. You chance is now 13.4% for Normal/Exceptional/Elite Unique Item ans 22.4% for Class Specific Unique item
- With 1000 MF you have triple (x3) the amount of Unique items than with 0 MF. You chance is now 20.1% for Normal/Exceptional/Elite Unique Item ans 33.6% for Class Specific Unique item
Chance for a Base Item to become an Unique item (Unique monster) Above graph shows the chance for a Base Item to become an Unique item when killing the Unique monster
in Area level 85. (standard Pit run, CS run, AT run, WSK run), just for the reference point, Our chances are much lower than from killing an Act Boss. It is because the QualityFactor for Act Bosses is 983 while QF for Unique monsters is 800. (all other values are basically the same except qlvl-ilvl difference which does not affect drop rates that much).
Chance for a Base Item to become an Set item (Boss) Above graph shows the chance for a Base Item to become a Set item when killing the Act Boss.
Now things are starting to look interesting! Why does it look like this? Because you can reach the maximum chance for Set items easily with enough Magic Find! After reaching that limit, your chances won’t increase any further. In fact, your chances for Rare items start to drop off with more Magic Find!
It is because the game always checks for Unique > Set > Rare etc in that order. So more Base Items will become Unique items before they can become Set items.
For Normal Items, it maxes out at 290 MF, for Class Specific items it maxes at 255 MF and for Exceptional/Elite items it maxes out at 520 MF. After those values, you will see less Set items.
Chance for a Base Item to become an Rare item (Boss) Above graph shows the chance for a Base Item to become a Rare item when killing the Act Boss.
Now things are starting to look really strange! You reach the maximum chance for Exceptional/Elite and Class Specific items early on; you never reach the maximum chance for Normal items. Your chances for Rare items start to drop off with more Magic Find!
More Base Items can become Unique items and Set items (or Failed Set items) before they can become Rare items.
Chance for a Base Item to become an Rare item (Unique monster)
For reference, chances for the Base Item to become a Rare item from a Unique monster are more flat but they still have maximum values and very slowly drop off with more Magic Find.
Now that we know the chance distribution per Unique / Set / Rare, let's look at some graphs for Normal, Exceptional/Elite and Class Specific items per monster kill.
For this part, we can pick the Monster that we are interested in, we can pick an Item Type we are interested in and the quality level of the item (qlvl). If we look at the initial formula above, the quality level is used in the calculation for a Base Item upgrade. Qlvl only affects the drop chance a little, but I wanted to be accurate as much as I can:
Chance for a Exceptional and Elite items to upgrade to specified magic rarity (Boss) Above graph shows the Chance distribution for all Exceptional/Elite Items that drop from Diablo.
Something looks strange… After 420 Magic Find, NO Magic quality Exceptional/Elite Item will drop!
But you are sure you saw some Magic items when you were farming Bosses, right? That is because the vast majority of Magic Exceptional/Elite items are Failed Set items!
(when farming bosses). There are very few Set items compared to all Base Items. So when RollMagicQuality Function is successful for Set check and calls MakeItemSet, the MakeItemSet function can’t successfully make a Set item because there is no Set item for selected Base Item. Value of 71 for qlvl is used. It is a median level value of all Exceptional/Elite items that can drop from Diablo.
We can see chances for Unique Diadem (Griffon's Eye) is about 17.181% while chances for set Diadem is 46.292%. Ratio between the two is 2.69
. If we go to any Online Drop Calculator, Maxroll Drop Calc for example, and we pick Baal (Baal because Diablo can't drop Diadems Base Items) and we compare the chances. We can see the chances for any Player count has same ratio as 2.69.
Chance for a Class Specific items to upgrade to specified magic rarity (Boss) Above graph shows the Chance distribution for all Class Specific Items that drop from Diablo
. Same thing is true for Class Specific drops. Vast majority of Magic quality Class Specific drops you see from Act Bosses are actually Failed Set items. Value of 43 for qlvl is used. It is a median level value of all Class Specific items that can drop from Diablo.
Chance for a Normal items to upgrade to specified magic rarity (Boss) Above graph shows the Chance distribution for all Normal Items that drop from Diablo.
Things look a little better for Normal Items. Magic quality items slowly drop off but never reach the bottom. It is because of Divisor value for Magic quality in itemRatio.txt file. Value of 28 for qlvl is used. It is a median level value of all Class Specific items that can drop from Diablo
Chance for a Exceptional and Elite items to upgrade to specified magic rarity (Unique monster) Above graph shows the Chance distribution for all Exceptional/Elite Items that drop from standard Unique monsters from Level 85 Area.
Just showcasing the upper limits of monsters that are farmed regularly. After 490 MF your chances for Unique items will continue to increase, but chances for every other quality will flatten out or start to decrease.
Same goes for Class Specific items, while Normal items for Rare quality will continue to rise slowly.
Now, let's combine all Graphs per Item Type into one Graph that shows Base Item chance to upgrade for selected monster and its Treasure Class: https://preview.redd.it/ssro5blt3n2b1.png?width=376&format=png&auto=webp&s=035e84edee488ea5daaeaf05f33254ee1c7514c9
Based on selected settings; (what monster are we looking at, Player and Party Settings and if the monster is Terrorized or not), the Drop Calculator picks the corresponding Treasure Class for that monster. It calculates the probabilities for each single Base Item drop for that selected Monster. it checks what Type each Base Item is (is it Normal, Exceptional/Elite or Class Specific item) and calculates the cumulative upgrade Chance for each Unique / Set / Rare / Magic version based on Normal, Exceptional/Elite or Class Specific distribution…
For Diablo kills (for Act 5 (H) Equip A Treasure Class) Item distribution is:
- Normal Items: 67.84870452%
- Exceptional/Elite Items: 20.29650961%
- Class Specific Items: 11.85478587%
If we apply what we have learned so far, we get a Final Graph that looks like this:
Final Chance Graph Above graph shows the final Chance for Base Item upgrade.
I would like to point out that the reason we are seeing Magic items here it’s because Normal Base Item drops make up 67.85% of all Diablo item drops. Normal Items like Clubs, Maces, Flails, Cap, Quilted Armor, Light Plate etc.
We know that not all Base Items have Unique and Set versions. If we apply that to our calculations and move every item that will always Fail the Unique check and Set check, we get the Final Item Distribution percentage per Magic Find with our gear:
Let's look at Andariel's final Chance for Base Item upgrade and Item Distribution percentage:
Final Chance Graph (Andariel) Item distribution (Andariel)
Because Andariel is now “quest bugged” by default, her Quality Factor for Rare items is 1024. Which means, technically, no Magic item will drop from her. ALL Magic items from Andariel are Failed Set items.
Let's look at Unique Monsters final Chance for Base Item upgrade: Final Chance Graph (Unique monster)
Chance for Unique upgrade flatlines rather quickly. It goes from 3.510% at 500 MF to 3.959% at 1000 MF. Chance for Set upgrade basically maxes out at 300 MF. Chance for Rare continues to rise slowly but it is because of Normal item types. Exceptional/Elite reaches max around 490 MF and Class Specific reaches max at 220 MF.
More Magic Find is always better for Unique items. But for everything else (Set, Rare, Magic items), more Magic Find can mean less! No matter your clear speed or players in the game!
If you want to maximize your chances for that elusive item you are looking for you need to have the optimal amount of Magic Find for that specific item
Just considering EffectiveMF graph is misleading because it doesn't show the true extent of diminishing returns of your Magic Find Gear. If you have any questions or remarks, please let me know.
Im mostly just curious.
A galaxy next door- the production quality felt weird to me and the way the first episode played out wasn’t interesting and dropped it that episode.
The cafe terrace and its goddesses- Felt like a mid quintessential quintuplets. Only character i sort of liked during the 2 episodes i watched was the mc.
Working for god in a godless world: The first episode was actually really interesting then once the loli appeared it went really downhill.
Might drop ( shows ive stopped watching but might pick back up that are on hold.):
Heavenly delusion- The premise seemed cool but i lost interest. Stopped after episode 2 idk if i wanna continue yet.
Insomniacs after school- Liked the vibe of the first 2 episodes. Didnt like the go out in the middle of nowhere to the previous club members arc.
The dangers in my heart- Idk just didnt interest me. I only watched one episode tho, Ive heard after episode 3 it gets better and its mal score has jumped up a lot from the start.
My clueless friend: I actually like this one. It kind of reminds me of erased but what if there wasn’t a serial killer. Haven’t been in the mood for it tho.
Sacrifical princess and the king of beasts- It seemed cute but not my type of show ill probs drop it.
Thats it for me lol. Im only watching about 10 seasonals i think including from last season continuing.