[Module] Big Bang | Formulas

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Section #1: How Mob Avoid Works
Section #2: How Player Avoid Works
Section #3: How Mob Damage Works
Section #4: How Player Damage Works
Section #5: Experience to Next Level
Section #6: How to calculate Minimum MP

Credits:
- Many members of the Southperry community: Dusk, JoeTang, KaidaTan, kruimel0, 505, and many others...

If you're wondering:
All of these formulas are taken straight from the executable file. A fully functional, unpacked, and unencrypted exe file was distributed to me legally and free from here.

---------------------

How Mob Avoid Works

Relevant Calculator:
Hit Rate Calculator

Relevant Formulas:
Magic Accuracy = INT + (LUK * 1.2)
Physical Accuracy = LUK + (DEX * 1.2)
Maximum Character Accuracy = 9999
Maximum Mob Avoid = 9999

Procedure:
Calculate the square root of your accuracy. Round down. Call this "Player Accuracy"
Calculate the square root of the enemy's avoid. Round Down. Call this "Mob Avoid"
After doing this, HitRate = Player Accuracy - Mob Avoid + 100
If the HitRate is greater than 100, then make the HitRate equal to 100
If the mob's level is above yours, subtract 5 from HitRate for every level he is above you. If this causes HitRate to go below 0, set HitRate to 0.
HitRate is the percentage chance that you will hit the enemy.

 For programmers

Code:

int calc_accr(int totalAcc, int mobAvoid, int charLevel, int mobLevel)
{
    int accuracyRate;
    int difference;

    accuracyRate = (int)sqrt((double)totalAcc) - (int)sqrt((double)mobAvoid) + 100;
    if(accuracyRate > 100)
    {
        accuracyRate = 100;
    }
    if(mobLevel > charLevel)
    {
        difference = 5 * (mobLevel - charLevel);
        if(difference > accuracyRate)
        {
             accuracyRate = difference;
        }
        accuracyRate -= difference;
    }
    return accuracyRate;
}

---------------------

How Player Avoid Works

Relevant Calculator:
Avoid Rate Calculator

Relevant Formulas:
Magic Avoid = INT + (LUK * 2)
Physical Avoid = DEX + (LUK * 2)
Maximum Character Avoid = 9999
Maximum Mob Accuracy = 9999

Procedure:
Calculate the square root of your avoid. Round down.
Calculate the square root of the enemy's accuracy. Round down.
After doing this, AvoidRate = Player Avoid - Mob Accuracy
If the AvoidRate is less than 0, then make the AvoidRate equal to 0
If the mob's level is above yours, subtract 5 from AvoidRate for every level he is above you. If this causes AvoidRate to go below 0, set AvoidRate to 0.
AvoidRate is the percentage chance that you will avoid the enemy.

 For programmers

Code:

int calc_evar(int charAvoid, int mobACC, int charLevel, int mobLevel)
{
    int avoidRate;
    int difference;

    avoidRate = (int)sqrt((double)charAvoid) - (int)sqrt((double)mobACC);
    if(avoidRate < 0)
    {
        avoidRate = 0;
    }
    if(mobLevel > charLevel)
    {
        difference = 5 * (mobLevel - charLevel);
        if(difference > avoidRate)
        {
            avoidRate = difference;
        }
        avoidRate -= difference;
    }
    return avoidRate;
}

---------------------

How Mob Damage Works

Relevant Calculator:
Mob Damage Calculator

Relevant Formulas:
WDEF = STR * 1.2 + (DEX + LUK) * 0.5 + INT * 0.4
MDEF = STR * 0.4 + (DEX + LUK) * 0.5 + INT * 1.2
Maximum Character Defense = 30,000
Maximum Mob Attack = 29,999
Maximum Character HP = 99,999
As a rule of thumb, your defense needs to be four times the enemy's attack value in order to receive 1 damage from the enemy's attack.
Having 30,000 defense will reduce all damage by about 86%. The "never receive damage" defense number is 40,000 (Because sqrt(WDEF * 0.25) of 40,000 is 100% in the formula), though it's impossible to reach it.
The enemy's attack value is the damage he will do if you have 0 Defense.
Flat damage reduction will only happen on values 8660 and less (and even then at only absurdly high defense values). Values higher than this are always percentage based damage reduction.
The overall procedure is: Get Mob Attack --> Reduce mob attack by threaten --> Calculate & randomize mob attack --> reduce attack by defense --> reduce attack by other means (Achilles, Combo Barrier, etc.) --> reduce damage by Meso Guard.
For every level you are below the enemy, you effectively lose 16 defense or 2.0% of the enemy's damage.
Threaten does not work on Pink Bean or any of his cohorts.

Procedure:
Calculate the following: PDDRounded = Total WDEF * 0.25 <---- Round this to the nearest whole number
Calculate the following: PDDPercentage = Square Root(Total WDEF * 0.25) <--- Round Down
If your level is less than the mob's level, subtract 4 from PDDRounded for every level. If PDDRounded becomes less than 0 because of this, set PDDRounded to 0.
If your level is less than the mob's level, subtract 2.0 from PDDPercentage for every level. If PDDPercentage becomes less than 0 because of this, set PDDPercentage to 0.
Calculate the following: MobDamagePDDRounded = Enemy Attack - PDDRounded
Calculate the following: MobDamagePDDPercentage = (100 - PDDPercentage) * (Enemy Attack / 100)
Pick the smaller number between MobDamagePDDRounded and MobDamagePDDPercentage. Call this number "damage taken"
If damage taken is less than 1, set damage taken to 1.
Damage taken is the maximum damage you will receive from the enemy.

 For Programmers

Code:

int damage_reduce(int totalWDEF, int charLevel, int mobAttack, int mobLevel)
{
    int PDDRounded;
    double PDDPercentage;
    int PDDRoundedRedux;
    double PDDPercentageRedux;
    int maxDamage;

    PDDRounded = (int)(totalWDEF * 0.25 + 0.5);
    PDDPercentage = (double)floor(sqrt(totalWDEF * 0.25));
    if(mobLevel > charLevel)
    {
        PDDRoundedRedux = 4 * (mobLevel - charLevel);
        if(PDDRoundedRedux > PDDRounded)
        {
            PDDRounded = PDDRoundedRedux;
        }
        PDDRounded -= PDDRoundedRedux;
        PDDPercentageRedux = 2.0 * (mobLevel - charLevel);
        if(PDDPercentageRedux > PDDPercentage)
        {
            PDDPercentage = PDDPercentageRedux;
        }
        PDDPercentage -= PDDPercentageRedux;
    }
    PDDRounded -= mobAttack;
    PDDPercentage = (100 - PDDPercentage) * (mobAttack / 100);
    maxDamage = PDDRounded;
    if(maxDamage > (int)PDDPercentage)
    {
        maxDamage = (int)PDDPercentage;
    }
    if(maxDamage < 1)
    {
        maxDamage = 1;
    }
    return maxDamage;
}

---------------------

How Player Damage Works

Relevant Calculator:
None yet

Relevant Formulas:
Multiplier * (4 * main stat + secondary stat) * (Attack / 100)
It is currently believed that mob WDEF does not apply to damage calculations anymore. Only PDRate/MDRate matter.

Procedure:
If you don't want to see any of the specifics for calculations, just jump to the third spoiler.

 Defining the equation

 Maximum Damage

All damage formulas are derived from the same basic equation, as follows:

MAX DAMAGE = MULTIPLIER * (4 * PRIMARY STAT + SECONDARY STAT) * (ATTACK / 100)

Primary Stat -- The primary stat is determined by the weapon you are using, and it's about what you'd expect. Swords, axes, blunt weapons, polearms, knucklers, and spears all use STR for primary. Wands and staves use INT for primary. Claws and daggers use LUK for primary, and all other weapons use DEX.

Secondary Stat -- The secondary stat is also similar to how it is currently. Swords, axes, blunt weapons, knucklers, polearms and spears all use DEX for secondary. Wands and staves use LUK. Claws use DEX. Daggers use DEX + STR, and bows and crossbows use STR.

Attack -- "ATTACK" here signifies either magic attack or weapon attack. Note that in this new system 1 INT no longer gives 1 Magic Attack. Meditate's magic attack is just as good as a Fighter's Rage.

Multiplier -- The "MULTIPLIER" is determined by the weapon used:

 Multipliers from KMST 1.2.318 - 1.2.326

Weapon Type	Multiplier
1H Sword	1.10
1H Axe	1.10
1H BW	1.10
Dagger	1.30
Wand	0.88
Staff	0.88
2H Sword	1.29
2H Axe	1.27
2H BW	1.27
Spear	1.49
Polearm	1.49
Bow	1.15
Crossbow	1.35
Claw	2.00
Knuckler	1.70
Gun	1.60

 Multipliers from KMST 1.2.327++

Credit to iAmFear and Baklava for these values

Weapon Type	Multiplier
1H Sword	1.20
1H Axe	1.20
1H BW	1.20
Dagger	1.30
Wand	1.00
Staff	1.00
Barehands	1.43
2H Sword	1.32
2H Axe	1.32
2H BW	1.32
Spear	1.49
Polearm	1.49
Bow	1.20
Crossbow	1.35
Claw	1.75
Knuckler	1.70
Gun	1.50

 Minimum Damage

MIN DAMAGE = MAX DAMAGE * TOTAL MASTERY

TOTAL MASTERY = BASE MASTERY + WEAPON MASTERY

Weapon Type	Base Mastery	Included Weapons
Ranged	15%	Bows, Crossbows, Claws, Guns
Melee	20%	Swords, Axes, Blunt Weapons, Spears, Polearms, Knucklers, Daggers
Magic	25%	Staves, Wands

Weapon Mastery -- This is obtained during second job, and gives you 50% weapon mastery when maxed.

As an example, if you're a Night Lord using a claw with all points in mastery, you would have 65% mastery (15% base mastery + 50% weapon mastery)

 Using the equation

 Procedure

MULTIPLIER * (4 * PRIMARY STAT + SECONDARY STAT) * (ATTACK / 100)

1. Determine the weapon you'll be using.
2. Insert your values for your primary stat, secondary stat, and attack.
3. Look up your multiplier (given in first spoiler) and insert that into the equation
4. Perform the calculation
5. Round to the nearest whole number. This is your maximum damage.
6. Determine your total mastery (also in first spoiler)
7. Multiply your total mastery with the maximum damage.
8. Round to the nearest whole number. This is your minimum damage.

 Example

1H Sword Hero
600 STR, 100 DEX
100 Weapon Attack
Maxed 2nd job mastery

1. Determine the weapon you'll be using:
- 1H Sword, primary stat is STR, and secondary is DEX

2. Insert your values for your primary stat, secondary stat, and attack.
- MULTIPLIER * (4 * 600 + 100) * (100 / 100)

3. Look up your multiplier (given in first spoiler) and insert that into the equation
- It's 1.1, so: 1.1 * (4 * 600 + 100) * (100 / 100)

4. Perform the calculation
1.1 * (4 * 600 + 100) * (100 / 100) <-- remove 100/100, multiplying by 1
1.1 * (4 * 600 + 100) <-- Finish parenthesis
1.1 * 2500 <-- Finish multiplication
2750

5. Round to the nearest whole number. This is your maximum damage.
- 2750 doesn't need to be rounded as it's a whole number

6. Determine your total mastery (also in first spoiler)
- I'm melee, so that's 20% base mastery. I also maxed Mastery in second job. So Total Mastery = 20% + 50% = 70%

7. Multiply your total mastery with the maximum damage.
- 2750 * 0.7 = 1925

8. Round to the nearest whole number. This is your minimum damage.
- 1925 doesn't need to be rounded as it's a whole number

My damage range is 1925 ~ 2750

 Damage Formula Cheat Sheet

Weapon Type	Base Mastery	Max Damage Formula
1H Sword	20%	1.20*(4 * STR + DEX) * (Weapon Attack / 100)
1H Axe	20%	1.20*(4 * STR + DEX) * (Weapon Attack / 100)
1H BW	20%	1.20*(4 * STR + DEX) * (Weapon Attack / 100)
Dagger	20%	1.30*(4 * LUK + STR + DEX) * (Weapon Attack / 100)
Wand	25%	1.00*(4 * INT + LUK) * (Magic Attack / 100)
Staff	25%	1.00*(4 * INT + LUK) * (Magic Attack / 100)
Barehands	20%	1.43*(4 * STR + DEX) * (Weapon Attack / 100)
2H Sword	20%	1.32*(4 * STR + DEX) * (Weapon Attack / 100)
2H Axe	20%	1.32*(4 * STR + DEX) * (Weapon Attack / 100)
2H BW	20%	1.32*(4 * STR + DEX) * (Weapon Attack / 100)
Spear	20%	1.49*(4 * STR + DEX) * (Weapon Attack / 100)
Polearm	20%	1.49*(4 * STR + DEX) * (Weapon Attack / 100)
Bow	15%	1.20*(4 * DEX + STR) * (Weapon Attack / 100)
Crossbow	15%	1.35*(4 * DEX + STR) * (Weapon Attack / 100)
Claw	15%	1.75*(4 * LUK + DEX) * (Weapon Attack / 100)
Knuckler	20%	1.70*(4 * STR + DEX) * (Weapon Attack / 100)
Gun	15%	1.50*(4 * DEX + STR) * (Weapon Attack / 100)

---------------------

Experience to Next Level

Credits to Cyanne

 Experience to Next Level

Level	To Next Level
Level 1	15
Level 2	34
Level 3	57
Level 4	92
Level 5	135
Level 6	372
Level 7	560
Level 8	840
Level 9	1242
Level 10	1242
Level 11	1242
Level 12	1242
Level 13	1242
Level 14	1242
Level 15	1490
Level 16	1788
Level 17	2146
Level 18	2575
Level 19	3090
Level 20	3708
Level 21	4450
Level 22	5340
Level 23	6408
Level 24	7690
Level 25	9228
Level 26	11074
Level 27	13289
Level 28	15947
Level 29	19136
Level 30	19136
Level 31	19136
Level 32	19136
Level 33	19136
Level 34	19136
Level 35	22963
Level 36	27556
Level 37	33067
Level 38	39681
Level 39	47616
Level 40	51425
Level 41	55539
Level 42	59982
Level 43	64781
Level 44	69963
Level 45	75560
Level 46	81605
Level 47	88133
Level 48	95184
Level 49	102799
Level 50	111023
Level 51	119905
Level 52	129497
Level 53	139857
Level 54	151046
Level 55	163129
Level 56	176180
Level 57	190274
Level 58	205496
Level 59	221936
Level 60	239691
Level 61	258866
Level 62	279575
Level 63	301941
Level 64	326097
Level 65	352184
Level 66	380359
Level 67	410788
Level 68	443651
Level 69	479143
Level 70	479143
Level 71	479143
Level 72	479143
Level 73	479143
Level 74	479143
Level 75	512683
Level 76	548571
Level 77	586971
Level 78	628059
Level 79	672024
Level 80	719065
Level 81	769400
Level 82	823258
Level 83	880886
Level 84	942548
Level 85	1008526
Level 86	1079123
Level 87	1154662
Level 88	1235488
Level 89	1321972
Level 90	1414511
Level 91	1513526
Level 92	1619473
Level 93	1732836
Level 94	1854135
Level 95	1983924
Level 96	2122799
Level 97	2271395
Level 98	2430393
Level 99	2600520
Level 100	2782557
Level 101	2977336
Level 102	3185749
Level 103	3408752
Level 104	3647365
Level 105	3902680
Level 106	4175868
Level 107	4468179
Level 108	4780951
Level 109	5115618
Level 110	5473711
Level 111	5856871
Level 112	6266852
Level 113	6705531
Level 114	7174919
Level 115	7677163
Level 116	8214565
Level 117	8789584
Level 118	9404855
Level 119	10063195
Level 120	10063195
Level 121	10063195
Level 122	10063195
Level 123	10063195
Level 124	10063195
Level 125	10767619
Level 126	11521352
Level 127	12327847
Level 128	13190796
Level 129	14114152
Level 130	15102142
Level 131	16159292
Level 132	17290443
Level 133	18500774
Level 134	19795828
Level 135	21181536
Level 136	22664244
Level 137	24250741
Level 138	25948292
Level 139	27764673
Level 140	29708200
Level 141	31787774
Level 142	34012918
Level 143	36393823
Level 144	38941390
Level 145	41667288
Level 146	44583998
Level 147	47704878
Level 148	51044219
Level 149	54617315
Level 150	58440527
Level 151	62531364
Level 152	66908559
Level 153	71592158
Level 154	76603609
Level 155	81965862
Level 156	87703472
Level 157	93842715
Level 158	100411706
Level 159	107440525
Level 160	113895024
Level 161	120728726
Level 162	127972450
Level 163	135650797
Level 164	143789844
Level 165	152417235
Level 166	161562269
Level 167	171256005
Level 168	181531366
Level 169	192423248
Level 170	203968643
Level 171	216206761
Level 172	229179167
Level 173	242929917
Level 174	257505712
Level 175	272956055
Level 176	289333418
Level 177	306693423
Level 178	325095029
Level 179	344600730
Level 180	365276774
Level 181	387193381
Level 182	410424983
Level 183	435050483
Level 184	461153512
Level 185	488822722
Level 186	518152086
Level 187	549241211
Level 188	582195683
Level 189	617127424
Level 190	654155070
Level 191	693404374
Level 192	735008637
Level 193	779109155
Level 194	825855704
Level 195	875407047
Level 196	927931469
Level 197	983607358
Level 198	1042623799
Level 199	1105181227

---------------------

How to calculate Minimum MP

Relevant Calculator:
Minimum MP calculator (NOTE: It's perfectly normal for some values to come out negative)

Thanks for everybody who helped find formulas and thanks Fiel :}

Nice to have an EXP chart on an official thread that is easy to find too. xD

EDIT: Ohlala these calculaters are fun! Extra thanks Fiel!

Yes! I was waiting for this, so, no formulas changed from KMS?

That I can't verify simply because I don't know. But this is the best information we've got, so I'm sticking to it.

It still saddens me that a character with 9999 accuracy will even miss monsters 1 level above him. I love to snipe high level monsters, and it was always fun to hit 1 1 1 1, but with 100% hit rate.

Thanks for the formulae, these will help greatly to get insight in how MapleStory works. =)

The EXP I need to level now @ 155, is less than the EXP I need to level post BB at level 165

Wow if I did calculation right I'llbe hitting 148k per hit in illusion minimum no critical 0.o

Are we sure we got that exp table? My friend has some guildies in tespia who claim we have the normal table with 2x exp, but I don't really want to put too much stock in what some derps told my buddy.

Are we sure we got that exp table? My friend has some guildies in tespia who claim we have the normal table with 2x exp, but I don't really want to put too much stock in what some derps told my buddy.

We got the exact same exp needed to level in Big Bang that KMS did, so yeah we got this table. I beleive the GMST thread in General Discussion has a SS of a level 164 who needed 143mill to level(on page 10 I think?), which is the same as Cyanne's EXP chart so, hurray! :]

We got the exact same exp needed to level in Big Bang that KMS did, so yeah we got this table. I beleive the GMST thread in General Discussion has a SS of a level 164 who needed 143mill to level(on page 10 I think?), which is the same as Cyanne's EXP chart so, hurray! :]

Excellent, this is why I don't listen to derps.

And Hai Ryahn.

thank you for posting the formulas guys.

I did some number crunching and will be -very- happy with my I/L archmage's power come BB.

Everyone has the same accuracy and avoid formula now? Awww I was gonna have loads of fun maintaining hax avoid on my Infighter Brawler.

Exp is only very slightly off.

eg. @ 153
71592158
71592197 <- actual exp needed.

A diligent Tespian could make the Exp TNL chart 100% accurate in a matter of an hour or so. Since Cody gives free level ups, they can simply level up one at a time and write down the Exp each time.

Are the new formulas for Critical Hits also known? Because I see some skills with Min Crit Damage and Max Crit Damage, plus I've heard some classes (if not all) have a base crit chance (without skills like Critical Shot).

thank you for posting the formulas guys.

I did some number crunching and will be -very- happy with my I/L archmage's power come BB.

EDIT NVM forgot to factor in skills addition to magic.

How would you factor in Magic Amplification?

Are the new formulas for Critical Hits also known? Because I see some skills with Min Crit Damage and Max Crit Damage, plus I've heard some classes (if not all) have a base crit chance (without skills like Critical Shot).

All classes after BB have a 5% base critical chance to do from 1.2 to 1.5 times their normal damage. Skills raise either the chance, the min multiplier or the max multiplier.

A diligent Tespian could make the Exp TNL chart 100% accurate in a matter of an hour or so. Since Cody gives free level ups, they can simply level up one at a time and write down the Exp each time.

Easier - just screenshot the exp gains.


133 - 18500784
132 - 17290452
131 - 16159301
130 - 15102150
129 - 14114159
128 - 13190803
127 - 12327853
126 - 11521353
125 - 10767624
121-124 - 10063200

I was attempting to calculate my Archmages attack post-BB, with Magic Amp is this correct?

1 (4 * 949 + 133) * (199 * 1.5 / 100)

Same xp from 9 - 14? That's strange. I guess it's to make people feel they're levelling fast