Master List of Game Formulae

Master List of Game Formulae (Full Version)

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Kaelin -> Master List of Game Formulae (10/24/2010 19:41:19)
Master List of Game Formulae Remake By Kaelin Notes 1) Symbol Key: ^ means 'to the power of'. So 10^3 = 1000. >= means 'greater than or equal to'. <= means 'less than or equal to'. 2) Order of Operations: As in all mathematics, expressions are simplified in the order below. [a] Parentheses: Anything inside parentheses takes priority. When there are multiple layers of parentheses, simplify the innermost layers first. [b] Exponents: Exponents come next. Work left to right. [c] Multiplication and Division: Both of these operations are done next. Work left to right. [d] Addition and Subtraction: Both of these operations are last. Work left to right. Example: 3 - 4 * (5 + 3 ^ 3) / 8 = 3 - 4 * (5 + 27) / 8 <-- First we work inside the parentheses. The Exponent takes priority over the Addition. = 3 - 4 * (32) / 8 <-- We do the addition in the parentheses. = 3 - 4 * 32 / 8 = 3 - 128 / 8 <-- Multiplication and Division have priority over the Subtraction, so we work the Multiplication left to right. = 3 - 16 = -13 3) Rounding: No colored brackets = Rounding not required or undetermined "[ ]" = Round off the contents in the brackets to the nearest integer. "[ ]" = Round down the contents in the brackets to the nearest integer. "[ ]" = Round up the contents in the brackets to the nearest integer. 4) Base/Random: Taking Nemesis' Condemnation as an example. Base Damage = 15 Max Damage = 29 Random Damage = Max Damage - Base Damage = 14 Thanks to .. .. .. for the updated "Nemesis" weapon information.* Table of Contents [1] Level Up Formulas [2] Stat Damage Bonus [3] Stat Bonus to Hit [4] Blocking Ability [5] HP, MP, & SP Formulae [6] [empty] [7] Who Strikes First? [8] Special Charisma Related Info [9] Stat Training Costs [10] Assumed Stat Training Regimen [11] Monster Encounter Levels [12] Monster Scaling [13] Standard Monster Defense [14] Hit or Miss? (Accuracy Formulas) [15] Calculating Average Damage Per Turn [16] Potion Recovery [17] Stat Rolls [18] Monster EXP/Gold [19] EXP/Gold Caps [20] Equipment Prices [21] Status Conditions [22] [empty] [23] Notable Post-Sweep Equipment Standards [24] [empty] [25] House Value [1] Level Up Formulas I = Initial level (current level), F = Final Level (the level you plan to reach) , E = Exp Total Exp to Level Up: Level <= 135: E = 10[11(1.1^I)] Level >= 136: E = 10000[0.011(1.1^I)] Cumulative Exp to Get from Level 0 to F (approximate): E = 1100(1.1^F - 1) Cumulative Exp to Get from Level I to F* (approximate): E = 1100(1.1^F - 1.1^I) Here are (updated) values for level up in chart form: http://i47.tinypic.com/e5gz8y.jpg [2] Stat Damage Bonus (Per 100% Stat Bonus) Stat Damage adds to the damage an attacker does against a target. Core Stat Damage* Melee Weapon: STR/8 Ranged Weapon: STR/10 + DEX/40 Magic Weapon: INT3/32 Melee Skill/Spell: STR/4 Ranged Skill/Spell: STR/5 + DEX/20 Magic Skill/Spell: INT/4 Pets* & Guests: CHA/15 Each hit of all player attacks (Weapons, Skills, and Spells) and Pet attacks has a 10% chance of adding damage in the form of a Lucky Strike, which increases core stat damage by LUK3/8 (or LUK/5 for Pets) for that hit. On average, this bonus results in an increase of LUK3/80 (or LUK/50 for Pets). Guests do NOT receive this bonus. If LUK is 0, Lucky Strikes do not activate. If LUK is negative, then the attacker instead takes a stat damage penalty when Lucky Strikes activate. Minimum Stat Damage = 0.25 * (Core Stat Damage) * (Attack's Stat Multiplier) Maximum Stat Damage = 0.75 * (Core Stat Damage) * (Attack's Stat Multiplier) For these formulas above, the minimum and maximum depend on whether Lucky Strikes activate. The minimum and maximum damage values for non-Lucky Strikes should exclude the +LUK3/8 bonus, and the minimum and maximum values for Lucky Strikes should include the +LUK3/8 bonus. Average Core Stat Damage, with Lucky Strikes Included Melee Weapon: STR/8 + LUK3/80 Ranged Weapon: STR/10 + DEX/40 + LUK3/80 Magic Weapon: INT3/32 + LUK3/80 Melee Skill/Spell: STR/4 + LUK3/80 Ranged Skill/Spell: STR/5 + DEX/20 + LUK3/80 Magic Skill/Spell: INT/4 + LUK3/80 Pets: CHA/15 + LUK/50 Guests: CHA/15 Average Stat Damage* = 0.5 * (Core Stat Damage) * (Attack's Stat Multiplier) A few weapons, skills and spells use different formulas for stat damage. Most notably, the Heal Wounds spell series uses END/4 instead of INT/4. Other than weapons that use their "special" attack every turn, most weapons do NOT take stat damage on their specials. However, weapons do take Lucky Strikes on specials (at the usual 10% rate). [3] Stat Bonuses to Hit Stat Bonus to Hit adds to the likelihood the attacker's hit lands against a target. The increase will not guarantee that you will land more hits, but the chance of any attack landing will improve accordingly. The following applies to weapon attacks, skills, and spells for each type. Melee: STR3/40 + DEX3/40 + LUK/40 Ranged: DEX3/20 + LUK/40 Magic: INT3/40 + DEX3/40 + LUK/40 Pets* & Guests: CHA3/40 + DEX3/40 + LUK/40 A few weapons, skills and spells use different formulas for stat bonus to hit. Other than weapons that use their "special" attack every turn, most weapons do not take stat bonus to hit on their specials. Thanks Zephyros for the updated BtH formulas. [4] Blocking Ability Blocking Bonus from Stats: DEX/8 + LUK/40 Thanks Zephyros for the updated blocking formula. [5] HP, MP, & SP Formulae Level is the player's level PowLevel is the player's "power level" as modified by Guardian status. A player who is a Guardian gains at least three levels on top of their usual level. Player HP = [23.8 * ((5.25 + 0.5625 * Level + 0.00375 * Level^2) + (1 + 0.066 * Level) * END/16) * 1/1.4] Player MP = [4.1 * (32 + (6.1 + 2.3375 * Level + 0.01125 * Level^2) * MIN(1, INT / MIN(Level * 2.1462 + 5.7076, 200)))] Player Max SP = [2.25 * (38.1 + 2.3375 * MPLevel + 0.01125 * MPLevel^2)] Player SP Regeneration = [0.15 * (38.1 + 2.3375 * MPLevel + 0.01125 * MPLevel^2)] Player Fleeing Cost = Monster's Current SP The Fleeing cost is capped at 150 SP. Thanks Zephyros, In Media Res, and KlawdStrife for updated SP formulas. [7] Who Strikes First? Player Luck = P Monster Luck = M First Strike Roll: Player: X = Random # Roll (1,100) + P Monster: Z = Random # Roll (1,100) + M If X > Z, player goes first. If X = Z then there is a 50% chance of either player or monster going first. If Z >X, monster goes first. Chance of First Strike Formula: C = Chance Player Goes First If P >= M + 100, C = 1 Else If P <= M - 100, C = 0 Else If P <= M, C = (100 + P - M)^2 / 20000 Else If P > M, C = 1 - (100 - P + M)^2 / 20000 All answers of C will be in decimal form. To change to a percentage, multiply by 100. Thanks to Kalanyr, Yagno2000, and Captain Rhubarb. [8] Special Charisma Related Info MAJOR NOTE: "Training Difficulty" is in the process of being phased out. Pets in the future will always get their turn (unless some unique circumstance takes it away). Attack Rate = 67 + (CHA - Training Difficulty)/2 Formula from Chii via Sora Aeragorn. Charisma Needed for 100% Attack Rate = 66 + Training Difficulty Some pets have a negative Training Difficulty but will display a value of 0, so the true attack rate may be higher. "Friendly" pets will usually have a Training Difficulty of -66. Pets released 2012 or later also use a Training Difficulty of -66. Some older pets will have attack rates specific to them. [9] Stat Training Costs Stats are trained in increments of five. Cost to Train Once = [101.25^(NewValue/5)] Cost of Training Stats with Z-Tokens* = [1.25^(NewValue/5)/2], with a minimum of 1 Approximate Cumulative Gold Cost = [(1.25^(NewValue/5) - 1.25^(OldValue/5))50 - (NewValue - OldValue)0.1] Training Cost Spreadsheet: File - Image [10] Assumed Stat Training Regimen Available Stat Points = Level5 Primary Stat* (PStat) = MAX(10; MIN(MROUND(Level2.1462+10.399; 5); 5Level; 200)) Secondary Stat (SStat) = MAX(0; MIN(MROUND(Level2.1462+8.2528; 5); 5Level - PStat; 200)) Tertiary Stat (TStat) = MROUND(MIN(MAX(0; 0.7123Level-19.111; 5Level-400); 200); 5) Quaternary Stat (QStat) = MIN(MAX(0; 5Level-600); 200) You can view a table of each stat value (in five-level increments) here [11] Monster Encounter Levels Random Encounter Monster List Single Monsters* Min Monster Level = [0.75CharacterLevel] - 5 Max Monster Level = [1.15CharacterLevel] + 1 Pack Monsters Min Monster Level = [0.75 * (CharacterLevel - 20)] Max Monster Level = CharacterLevel - 18 Note: Yonder lowers the Min Monster Level by 5 and increases the Max Monster Level by 5. [12] Monster Scaling Level = Your Level + 5 NOTE: Level-scaling maxes out at the original level * 2.5 . If the monster would be scaled above that point, then it is simply set at the maximum. This can set the level at a fraction. Strength = (Current Level/Normal Level)Normal Strength Dexterity* = (Current Level/Normal Level)Normal Dexterity Intellect* = (Current Level/Normal Level)Normal Intellect Endurance* = (Current Level/Normal Level)Normal Endurance Charisma* = (Current Level/Normal Level)Normal Charisma Luck* = (Current Level/Normal Level)Normal Luck [13] Standard Monster Defense Defense* = [0.259Level + 15] Note: This equation does not account for a monster's DEX or LUK, so [DEX0.125 + LUK0.025] should be added for the stat-adjusted Defense rating. This formula is a "best guess" based off monster data collected so far. For those interested in a Standard Adjusted Monster Defense, an exact formula is not available, but an excellent approximation is: Standard AMD = 0.5Level + 15 [14] Hit or Miss? (Accuracy Formulas) Attacker Value (weapon) = Weapon BTH + Armor BTH + Stat BTH Attacker Value (weapon special) = Weapon BTH + Weapon Special BtH Attacker Value (spells) = Spell BTH + Stat BTH Attacker Value (pet/guest) = Pet/Guest BtH + Stat BtH Roll = Rolls a Random Float between 0 and 100. Defender Value = Blocking Defense + 0.125DEX + 0.025LUK If Attacker Value + Roll > Defender Value, then it hits. Otherwise it misses. Certain special actions, like healing spells, will always hit. Chance to Hit Chance to Hit = (100 + Attacker Value - Defender Value) / 100 Chance to Hit is in decimal form. It will always lie between 0 and 1 (inclusive). Thanks to DarkDevil, PyroPuppy, and In Media Res for the update to the rounding mechanics. [15] Calculating Average Damage Per Turn For the calculations below, convert all Resistance, Special Rate, hit rates, base%, random%, and stat% (include Special Lucky Strike%) into decimals. Average Lucky Strike Stat = 0.0375LUK Normal Weapon Power* = (Weapon Base) * (Armor Base) + (Weapon Random) * (Armor Random) / 2 + (Stat Damage) * (Armor Stat) / 2 Weapon Special Power = (Weapon Base) * (Special Base) + (Weapon Random) * (Special Random) / 2 + (Average Lucky Strike Stat) * (Special Lucky Strike) / 2 Average Weapon Damage = Resistance * [Weapon Hit Rate * (1 - Special Rate) * (Normal Weapon Power) + (Weapon Special Hit Rate) * (Special Rate) * (Weapon Special Power)] Average Spell Damage = Resistance * (Hit Rate) * [Base + Random / 2 + (Stat Damage) * (Spell Stat) / 2] Average Pet/Guest Damage = Resistance * (Hit Rate) * [Base + Random / 2 + (Stat Damage) * (Companion Stat) / 2] When calculating average damage for weapons with a 100% special rate, disregard Weapon Special Power. Just calculate Normal Weapon Power using the built-in Base/Random/Stat multipliers as the Armor Base/Random/Stat multipliers, and then calculate Average Weapon Damage using Special Rate = 0. Besides weapons with a 100% special rate, a handful of older weapons deal stat damage on their special. For these weapons, add (Stat Damage) * (Weapon Stat) to the Weapon Special Power. For player weapon and armor comparisons, Dev's Weapons Spreadsheet is available. For player spell comparisons, JMill's Spell Comparison Spreadsheet is available. For player pet comparisons, JMill's Pets and Guests Spreadsheet is available. Thanks to Everest for the updated damage comparison links. [16] Potion Recovery Health Potion Healing HP recovered drinking one Health Potion = 2 * 0.85 * ((10.5 + 1.125 * Level + 0.0075 * Level^2) + (1 + 0.066 * Level) * END/16) HP, with a 10% chance of that END/16 being replaced by END/16 + LUK * 3/16. Mana Potion Healing MP recovered drinking one Mana Potion = 2 * 0.8 * (38.1 + 2.3375 * Level + 0.01125 * Level^2) [17] Stat Rolls Roll: Rolls a Random # (1-100) Bonus: A bonus added to the roll. Usually Bonus = Stat/5, where Stat is the value of the stat used for the roll. Difficulty: The value the player must reach to win a roll If Roll = 100, the roll instantly succeeds. If Roll = 1, the roll instantly fails. Otherwise, if Roll + Bonus >= Difficulty, then the roll succeeds. If the roll still has not succeeded, the roll will fail unless the player can defy the roll (see Roll Defiance below). Probability of Success = 1.01 + Bonus - Difficulty. Probability is in decimal form. 0.01 <= Probability <= 0.99 due to Instant Failures and Instant Successes when rolling 1 and 100. Roll Defiance: If a stat roll neither succeeds nor instantly fails, a player may be allowed to pay SP to "defy" a stat roll. When available, the player must pay [0.3Point] for each point* the player fell short of the roll Difficulty. For example, a player that gets a Roll + Bonus of 84 against a Difficulty of 88 must pay a cost of [0.385] + [0.386] + [0.387] + [0.388] = 26 + 26 + 27 + 27 = 106 SP. Fast Defiance Cost Formula = [0.15 * ((Difficulty + 2)^2 - (Roll + Bonus + 2)^2)] If a player lacks the SP to defy the roll or declines to pay the cost, the roll will fail. If the player defies the roll, the player will win the stat roll and lose the required SP. Note: The Fast Defiance Cost Formula will produce an error of 1 SP in 10% of possible outcomes. [18] Monster EXP/Gold EL: The enemy's Level GoldLean: Value between 0 and 2 describe the distribution of reward between Gold and XP. 0 means XP only, 2 means Gold only, and 1 means a "normal" split, with roughly three times as much XP as gold. Gold = ROUND(GoldLean(1.055^EL + 8 + 1.055^(EL^1.085))) XP = ROUND(23(1.055^EL + 8 + 1.055^(EL^1.085)) - 3Gold) These rewards take an additional multiplier: ((T^2 + 15T - 1)/15)(P^1.75)GX G is 1 for AQ and 2 for WF X is 1.1 for an X-Guardian and 1 otherwise. For X-Guardians, the extra 0.1 is rolled in automatically for Gold, but it is applied after battle for XP. P is the number of monsters in the enemy "pack." This value is 1 unless an enemy title uses (2), (3), (4), in which case those numbers are used instead. T is the monster's "power." A normal monster is 1, a boss is 2, an elite boss is 3, etc. A table showing the rewards of a standard monster with a GoldLean of 1 can be seen here: refer to this table (which also contains standard equipment prices). Thanks to Aelthai/Kalanyr for these formulas and explanations, which have been copied almost word for word. Thanks to whackybeanz and IMR for reward multiplier correction. [19] EXP/Gold Caps PL: Player Level AQ Daily Exp Cap = (1.055^PL + 8 + 1.055^(PL^1.085)) * 900 AQ Daily Gold Cap = (1.055^PL + 8 + 1.055^(PL^1.085)) * 300 AQ X-Guardian Daily Exp Cap = (1.055^PL + 8 + 1.055^(PL^1.085)) * 990 AQ X-Guardian Daily Gold Cap = (1.055^PL + 8 + 1.055^(PL^1.085)) * 330 WF Daily Exp Cap = (1.055^PL + 8 + 1.055^(PL^1.085)) * 1200 WF Daily Gold Cap = (1.055^PL + 8 + 1.055^(PL^1.085)) * 400 I herd u liek ~~mudkipz~~ tables, so here you go. Regardless of your circumstance, these daily caps translate to winning 300 battles against standard monsters of your level. NOTE: This formula does not seem to be behaving properly at the moment. Your results may vary by a few percent. Thanks to BlackAces/Dev/TCO/Aelthai/Kalanyr for the updated caps. [20] Equipment Prices Equipment Costs Standard item cost = (3.5 * 1.11^L + 26.5) * S * M Equipment Scalars (S) Weapon, shield, spell, skill: 1 Armor: 2 Pet: 0.5 Misc item: 0.25 Mastercraft Multiplier (M) Standard: 1 Mastercraft: 1.1 If an item is "compressed" to include two features (like an armor that allows a player to use a skill), the cost scalars are added together. The item also takes on a 1.1 Mastercraft cost multiplier. For example, an armor with a skill built-in takes a combined (S * M) cost multiplier of (2 + 1)1.1 = 3.3, and a Misc item that can cast a spell takes a combined (S M) cost multiplier of (0.25 + 1)1.1 = 1.375. For a table of equipment costs and the number of wins needed to obtain them, refer to this table (which also contains full monster rewards). The sheet assumes the player is fighting standards monsters with the same level as the equipment. [21] Status Conditions Status System Save Roll Formula* Major: (MajorInflictStatistic - MajorResistStatistic)/5, minimum -20, maximum +20 Level: (InflictLevelStatistic - ResistLevelStatistic)/2 (no cap) Minor: (MinorInflictStatistic - MinorResistStatistic)/10, minimum -10, maximum +10 Additional Modifiers: (NetInflictModifiers - NetResistModifiers) (no cap) Save Roll Difficulty = 51 + (Major + Level + Minor + Additional Modifiers) Resist Status Roll = Random # Roll (1,100) If Resist Status Roll < Save Roll Difficulty, the status condition is applied. Otherwise the status condition is not applied. Poison Damage Base Damage: [[4 + 0.5PoisonLevel + 0.005(PoisonLevel^2)]/2] * 0.1 Random Damage: {[[13 + 1.25PoisonLevel + 0.005(PoisonLevel^2)]/2] + [(200 + 8.8PoisonLevel)/200] [[[(2.1462PoisonLevel + 10.399)/5]5]† / 8]} * 0.1 † = Min 10, Max 200 Poison damage is applied for ten turns. Burn Damage Base Damage: [[4 + 0.5BurnLevel + 0.005(BurnLevel^2)]/2] * 0.2 Random Damage: {[[13 + 1.25BurnLevel + 0.005(BurnLevel^2)]/2] + [(200 + 8.8BurnLevel)/200] [[[(2.1462BurnLevel + 10.399)/5]5]† / 8]} * 0.2 † = Min 10, Max 200 Burn damage is applied for five turns. New status condition info thanks to In Media Res. [23] Notable Post-Sweep Equipment Standards Note: Sweep standards are always in flux. Some "swept" equipment may now be on outdated standards. Note: This section is a work in progress. Balance Spreadsheets Weapons/Pets/Spells Armors Shields Misc Items Regarding these sheets, be advised that many balance rules are not stated or have since changed. These include but are not limited to the following: * AQ items now use "WF" (swept) prices. * The "Random" value for weapons/spells/pets may be rounded differently to account for a favorable/unfavorable rounding of an item's "Base" value. * Armors that optimize two Resistances will take a penalty to those Resistances equal to (Good - Defensive). Armors with high Offense do the same. Armors with high Defense or low Defense may also take a penalty or discount equal to this amount. * Misc items with element-ignoring effects will not take a full 8 upkeep cost. Damage/BtH modifiers generally presume the effect is for a Melee weapon. Spells may only receive half the effect for the same cost. Definitions Level: Equipment Level Equipment level is the level a piece of equipment is intended for purchase. PLvl: Power Level The Power Level for an item is the equipment's intended purchase level plus any bonuses. Guardian-only and Ballyhoo equipment will get a bonus of at least 3 levels. Equipment bought with Tokens gets a bonus of at least 10 levels. MPLvl: MP Level = [PLvl3/4 + Level/4] OffLean: Offensive Lean on an armor. It can range from "Defensive" (0.8, in other words "80%") up to "Offensive" (1.25, in other words "125%"). The most common lean on swept armors is "Average" (1, in other words "100%"). The Offensive Lean of an armor indirectly affects how good an armor can be in terms of Defense and Resistance. Wild* Factor is a value between 0 and 1 describing the distribution of power between "base" damage (guaranteed damage, if the attack hits) and "random" damage (extra damage potentially awarded if the attack hits). An "average" attack will use a value of 0.5. Using a Wild of 0 will sometimes result in an attack receiving Random damage of -1. In this event, Base is effectively decreased by 1 and Random is effectively increased from -1 up to 1. Melee Power: Melee Power designates the amount of damage done by a Melee weapon supported by stats but disregarding the weapon's special, excluding the effect of Lucky Strikes. This amount of damage is similar to what a Melee weapon does in an armor with an Offensive Lean of 0.9 (often called "mid-defensive") when including the weapon's special. A mid-defensive armor is commonly assumed when considering sources of damage not coming from a player's weapon, so this unit "Melee Power" plays an important role in balance. Spells Spell Base Damage = [2(1 - Wild)(5.25 + 0.5625PLvl + 0.00375PLvl^2)] Spell Random Damage = [4(5.25 + 0.5625PLvl + 0.00375PLvl^2)] - 2(Spell Base Damage) Spell Stat Multiplier = 1 + 0.066PLvl BTH per Hit* = [PLvl/4] MP Cost = [38.1 + 2.3375MPLvl + 0.01125(MPLvl^2)] Spells fully supported by stats will do roughly 2 * (Melee Power). Weapons Weapon Base Damage = [(1 - Wild)(5.25 + 0.5625PLvl + 0.00375PLvl^2)/(1 + 0.03PLvl)] Weapon Random Damage = [2(5.25 + 0.5625PLvl + 0.00375PLvl^2)/(1 + 0.03PLvl)] - 2(Weapon Base Damage) BTH per Hit* = [PLvl/8] Special Base/Random: (1+10/Proc)(1+0.03PowLvl)(1+MIN(2.1462PowLvl+10.399;200)(1+0.066PowLvl)/16/(0.00375PowLvl^2+0.5625PowLvl+5.25)) Special Lucky Strike: round(100+(PLvl6.6),0)% Special BtH* =FLOOR(MIN(2.1462PLvl+10.399,200)/8+IF(PLvl<90,MAX(0.7123PLvl-19.111,0),MIN(5PLvl-400,200))/20+PLvl/8,1) Armors* Base Multiplier = [1 + 0.03PLvl] OffLean Random Multiplier = [1 + 0.03PLvl] OffLean Stat Multiplier = [100 + 6.6PLvl]/100 OffLean BTH per Hit = [PLvl/8] Pets Pet Base Damage = [0.4(1 - Wild)(5.25 + 0.5625PLvl + 0.00375PLvl^2)] Pet Random Damage = [0.8(5.25 + 0.5625PLvl + 0.00375PLvl^2)] - 2(Pet Base Damage) Pet Stat Multiplier = (100 + 6.6PLvl) 0.75 / 100 BTH per Hit = [PLvl/4] Pets fully supported by stats have power roughly equal to 0.4 * (Melee Power). Pets not supported by CHA are assumed to be worth 0.2 * (Melee Power). Guests Guest Base Damage = [0.6(1 - Wild)(5.25 + 0.5625PLvl + 0.00375PLvl^2)] Guest Random Damage = [1.2(5.25 + 0.5625PLvl + 0.00375PLvl^2)] - 2(Guest Base Damage) Guest Stat Percentage = (100 + 6.6PLvl) 1.125 / 100 BTH per Hit = [PLvl/4] Upkeep MP Cost = [[38.1 + 2.3375MPLvl + 0.01125(MPLvl^2)]0.175] Guests fully supported by stats have power roughly equal to 0.6 (Melee Power). Assumed Equipment Replacement These assumptions are not hard requirements but rather an average assumed baseline of what will happen. These assumptions are also not necessarily the most-efficient use of gold. For example, you will probably find it useful to replace armors more frequently and shields less frequently at higher levels, and warriors will have much less use for spell upgrades, so act as you see fit. Weapon: One upgrade per level, so each item is replaced every 7 levels. Spell: One upgrade per level, so each item is replaced every 8 levels. Pet: One upgrade per two levels, so each item is replaced every 16 levels. Misc: One upgrade per two levels, so each item is replaced every 16 levels. Armor: One upgrade per three levels, so each element is replaced every 21 levels. Shield: One upgrade per three levels, so each element is replaced every 21 levels. Common Damage Multipliers SP Cost (instead of MP): 0.75 (applied before rounding) Magic Weapon Base/Random Damage: 0.75 (applied before rounding) Mastercraft (if bonus is applied to damage): 1.05 Two Forced Allied Elements: 1.05, or 1.1 on the less powerful elemental attack (for all attack types, applied to spells before rounding) Two Forced Neutral Elements: 1.1, or 1.2 on the less powerful elemental attack (for all attack types, applied to spells before rounding) Two Forced Poorly-Related Elements: 1.155, or 1.31 on the less powerful elemental attack (for all attack types, applied to spells before rounding) Two Forced Opposite Elements: 1.2, or 1.4 on the less powerful elemental attack (for all attack types, applied to spells before rounding) All elements: 132/109 Choice of Two Elements: 0.9 (for all attack types, applied to spells before rounding) Element-Seeking: 0.8 Element randomized at the start of battle: 1.1 Generic trigger: 1.1 (can vary depending on prevalence of triggering targets) Generic downtrigger: 0.95 (sometimes varies) Harm-element: 0.9 (for all attack types, applied to spells before rounding) Auto-Hit: 0.85 Healing: 0.9 (also receives 0.85 for Auto-Hit) Accuracy Lean (BtH Mod = Equipment BtH - Standard BtH Per Hit): 85/(85 + BtH Mod) Theoretical Weapon Special Advantage: (1 + 0.1/Proc) (Proc is the weapon special rate. For the default 20% rate, the multiplier is 1 + 0.1/0.2 = 1.5. The exact effect is different because weapon specials typically ignore player stats and will do extra base/random damage to compensate.) No-special weapon: 1.09 (specials are stronger than regular attacks, so a lack of a special is accounted for this way) "100% special" weapon: 1.02 (the lack of a normal special means the weapon does less damage than normal, but since it also ignores armor lean, the compensation isn't as high) Damage to MP: 1.5 Damage to SP: 1.125 Golden Rule of Multipliers: Multipliers are used so any two pieces of equipment with the same PLvl in the same equipment category have similar levels of usefulness. Items with behaviors that make them more versatile will generally be made weaker in other ways. Likewise, items that are harder to use effectively will generally be made more powerful. Status Effect / Damage Compensation* Attacks without status effects are the "standard" actions. If a player does an action that applies or attempts to apply a negative status effect on the enemy, the particular item will directly do less damage than a standard action. The usual rule is: Damage Reduction: (Expected Status Attempt Rate) * [50 - (Enemy's Save Bonus)] * (Effect Value) The Expected Status Attempt Rate is almost always affected by the attack's hit rate. If a special with a BtH Mod of -5 requires both of its hits in a two-hit special to connect to attempt a status effect, and the status effect is only attempted 50% of the time when that condition is met, then the Expected Status Attempt Rate is 0.8 (first hit lands) * 0.8 (second hit lands) * 0.5 (50% chance to try) = 0.32. The Effect Value is a measure of the status effect's usefulness. Some examples are included below. Turn Loss with no extra effect: 1.4 * (Melee Power) Frozen/Petrification: 1.6 (Melee Power) Poison/Burn/etc: (Turns of Poison/Burn/etc) * (Poison/Burn/etc's Damage Per Turn) Blind: [(BtH Reduction)/70] * (Turns of Blinding) * 1.4 * (Melee Power) Damage reductions apply before multi-element multipliers. Enemy Power Multipliers Monsters may receive difficulty multipliers to place them above or below standard. Below are common multipliers: Mook: 0.5 Champion: 1.25 Elite: 1.5 Boss: 2 However, monsters are not required to use these multipliers in particular. Monsters with power multipliers of 1.4 or 0.9 are possible in their own right. Special thanks to Aelthai, Kalanyr, and Lord Barrius for these formulas and parameters. Correction thanks to ArchMagus Orodalf. Elemental Wheel The Elemental Wheel is used to describe the relationship of elements. Pairs of elements that are close on the wheel are said to be more related than those farther away. [image]http://s17.postimg.org/gpjf78vjz/final_circles.gif[/image] Earth and Light are considered to be three positions apart since they are connected through Light <--> Energy <--> Fire <--> Earth. For equipment that is forced to attack with two elements, the distance of those two elements determines how much (more) damage the attack can do. Allied Elements: 1 position apart Neutral Elements: 2 positions apart Poorly-Related Elements: 3 positions apart Opposite Elements: 4 positions apart Attacks that force more than two elements will receive multipliers according to the difficulty of using such attacks effectively. The more elements used and the farther apart the elements are on the wheel, the greater the damage multiplier. Thanks to the Knights of Order for the publishing these standards. Thanks to BexnDan for finding an omission and Roblos for fixing BtH on weapon/armor. Thanks to zekefreed777 for identifying confusion between "Multiplier" and "Percent." Thanks to Watashig for pointing out obsolete rounding behavior in armor standards. Thanks to KlawdStrife for BtH typos. Thanks Watashig for Weapon Special formulas. Thanks IMR for MPLvl rounding correction. Thanks IMR and KlawdStrike for rounding changes (armor BRS, companion stat%, spell stat%). Thanks Syth for suggesting trigger value notes. Thanks to pure tppc and Mr G W for suggesting other multipliers, and KlawdStrife for the note on -1 Random. Thanks to afterlifex on typos for equipment replacement standards. Syth for the removal of outdated healing spell standards. ruleandrew for per-battle randomization multiplier. IMR for announcing SBR/SLS changes. [25] House Value Value = [Price * (0.9 + [Days Owned]/700)] "Price" is the original purchase Z-Token price, "Value" is the current Z-Token sellback, "Days Owned" is the number of days the player has owned the house. Put more plainly, a house's value is about (90 + Weeks Owned)% of the purchase price, updated daily based off the time of day you purchased the house. Edit Log: 12/12/14: Can't figure out exactly AMD formula, but I've thrown in a nice, simple approximation. Thanks KlawdStrife for noticing I forgot about it. 12/6/14: Update 39.0 Clean-up 11/20/14: AQ Update 39.0 10/24/10: Level Scaled Weapons, Level Scaled Pets/Guests, and Vamp/Lycan Armours have been removed. Most other sections are revamped/updated or have merged. 10/25/10: XP table updated, Elemental Wheel picture added! 11/1/10: Updated damage comparison spreadsheet links. 3/7/11: Nemesis Mace replaced with Nemesis' Condemnation 3/19/11: House Value Added. Tweaked Sweep standards for Random value calculations. Tweaked encounter formula to specify rounding 3/24/11: Removed "old freeze" as it should no longer exist. 6/2/11: Removed EXP/Gold Cap Table Links, Added Order of Operations Explanation, Clarified Stat Damage and Stat Bonus to Hit a little. 7/21/11: Added Non-BM pet stat%. 8/3/11: Corrected BtH on weapons/armors. Added "Offensive Lean" since is relevant to players' interests. Added housing note. 8/4/11: Updated daily caps. 9/7/11: Added monster rewards, daily cap tables, and a table of "wins needed to cap" and "wins needed to buy equipment," since these questions sound popular. 11/29/11: Added formulas and a table for assumed stat training. 1/1/12: Added approximate Standard Monster Defense formula 1/3/12: Added note that Training Difficulty is being phased out. 2/27/12: Added Training Cost Information for WF/Sweep Standards 3/29/12: Added Standard Adjusted Monster Defense. I blame Everest. 5/12/12: Added notes on Status Effect compensation. 5/21/12: Changed formulas using percent to instead use multiplier, and then updating/correcting formulas accordingly. Also added element-seeking damage multiplier. 6/7/12 - 6/9/12: XP/Gold update is rolling. XP formulas, XP chart, daily caps, equipment costs, monster rewards updated accordingly. 12/10/12: Small fix to XP formula multiplier 4/1/13: Removed funky data duplication (thanks zippy2010) 4/12/13: Daily Caps Increased by 50% 6/13/13: Version 37.6 Update 9/13/13: Cleaned up some of the formulas, deleted obsolete rounding behavior 9/21/13: Fixed typos with BtH and certain MP-related formulas. 3/18/14: Lucky Strikes on weapon specials are (finally) enabled. 4/26/14: Lots of little things. 7/20/14: Added proc-related multipliers, MP/SP damage multipliers, and a note about -1 Random damage. 7/20/14: Removed rounding/integer mechanics for BtH, blocking, and hit rate, added Sweep equipment replacement assumptions. 7/22/14: Fixed typos on equipment replacement standards. 10/15/14: Removed note on old healing spells, added 1.1 for per-battle randomized attacks. Credits:* I'd like to thank all the previous owners of this guide: Everest, Cloudxx, Neon, Scakk, Astral, and Orion of the Stars; you all made my job much easier through your own research. Formatting credit goes to Orion of the Stars. I'd also like to thank the Encyclopedia AKs for all their hard work, without whom there may be no Master List of Game Formula. I'd also like to thank the Knights of Order for publishing many of the sweep standards and Aelthai in particular for answering specific questions. Finally, I want to thank Everest for entrusting me with this guide. If you feel I have made a mistake, please let me know. I'd like to keep this guide as accurate as possible, and every user helps. Thank you in advance! Please also feel free to ask questions if something is confusing; other forum members and I will be glad to clarify. I have made some executive decisions about what to include and what to leave out. If you feel that certain information belongs in this guide, I will try to give it appropriate consideration. Looks good to me. Approved Oct. 24 by vezha

Ranloth -> RE: Master List of Game Formulae (10/25/2010 4:01:24)
I decided to do Exp Chart, as old one is updated ^_^ [image]http://i54.tinypic.com/ngr95x.png[/image]

Kaelin -> RE: Master List of Game Formulae (10/25/2010 19:01:35)
Your table has some discrepancies. Anyway, I've uploaded a corrected version. Also, I have added a picture of the Elemental Wheel! Nov 1: Added Everest's updated links.

Everest -> RE: Master List of Game Formulae (10/29/2010 21:25:33)
I noticed a couple of the spreadsheets linked in [13] aren't actually the most up-to-date ones we have in EC. My fault. :P Dev's Weapons Spreadsheet and JMill's Pets and Guests Spreadsheet would be better, they are both being updated. And now I have to go through a bunch of forums and change all the Game Formulae links. :P

Beofox -> RE: Master List of Game Formulae (3/8/2011 18:15:51)
In paragraph [12] Hit or Miss Formulas you state: "If Attacker Value + Roll > Defender Value, then it hits. Otherwise it misses." Is there a Defender Roll in this calculation too, or do you always hit if the Attack Value is greater than the Defender Value?

The Forgotten -> RE: Master List of Game Formulae (3/9/2011 4:25:01)
Nope. If Attacker Value > Defender Value, it always hits.

Faru -> RE: Master List of Game Formulae (5/31/2011 19:29:49)
I have an issue with a few things. I see that you are using (weapon base) + (weapon random) /2 to calculate average damage. (Before armor and specials). I would think [(weapon random) - (weapon base) / 2] + (weapon base) would be more accurate, since in all reality, the average damage is the minimum damage the weapon does plus the average value between the min and max damage. Both usually comes to the same values, but your version causes errors with other formulas down the road. Also, to add stat bonus damage to weapon average damage, why did you add it as (above formula) + (Stat Damage) / 2 ? (also, before including armor and specials) I dont understand your logic on that. Wouldn't the stat damage be added at the end of the base damage roll as a whole, not divided? for instance, using Hei Quan(8-32 damage) with 100 str(12.5 bonus stat damage) before armor, specials, defences, etc: Your formula: ((8+32)/2)+(12.5/2) = 26.25 average damage with Hei Quan + Bonus stat damage My proposal: (((32-8)/2)+8)+12.5 = 32.5 I dont know why you are dividing the bonus stat damage in half. I'm assuming the game calculates weapon damage as (weapon damage roll) + (bonus stat damage), not (weapon damage roll) + (half of stat bonus damage). Also, i'm seeing inconsistancies between all the formulas above and actual playtesting in the game. My in-game test stats: lvl 60, str100(12.5 bonus dmg to melee), dex100, luck0, using Hei Quan(8-32 dmg, no special, no effects, dark damage) and Nighthunter Vampire Slayer armor(zero damage bonuses to normal attacks from armor) Test dummy: Seed Spitter (level 2, 25 Melee/Ranged/Magic defence, dex10, all other stats 0, 100% dark resistance) Using the formulas above and using my modified formulas, that would turn out to be: Your forumula: Min damage: (weapon min) + ((stat bonus) /2) Mine: Min damage: (wepon min) + (stat bonus) actual values: Your formula: 8+(12.5/2)=14.25 My formula: 8+12.5=20.5 However, swinging away at the seed spitter with the above equipment and stats, i'm seeing damage values as low as 12 showing up on normal strikes. Is the stat bonus damage value you listed (str/8) incorrect? Is there some variable to damage that is missing? Or is my math incorrect?

JMill -> RE: Master List of Game Formulae (5/31/2011 19:44:13)
It looks like it's an issue of understanding a few things. The first thing is that random damage isn't the same thing as max damage. For instance, using your Hei Quan example (8-32 damage). The Base is 8, the max is 32 and the random is 32-8 or 24. So your first part about subtracting to find the difference is on the right track, but you got confused by the terminology. quote: I dont know why you are dividing the bonus stat damage in half. I'm assuming the game calculates weapon damage as (weapon damage roll) + (bonus stat damage), not (weapon damage roll) + (half of stat bonus damage). Stat damage is essentially added on to max damage. Therefore it's basically like the same thing above, the game does add in the bonus stat damage, but to find the average value it's going to to add to your damage is in the middle (hence the 0.5). This is actually the same problem with the last part of the post, the base is unchanged, so using an armor with 100% base, you could hit as low as 8, which puts 12 within the range of possibility.

Faru -> RE: Master List of Game Formulae (6/1/2011 11:00:49)
quote: It looks like it's an issue of understanding a few things. The first thing is that random damage isn't the same thing as max damage. For instance, using your Hei Quan example (8-32 damage). The Base is 8, the max is 32 and the random is 32-8 or 24. So your first part about subtracting to find the difference is on the right track, but you got confused by the terminology. so are you saying that the damage roll is actually applying the 8, and then doing a seperate random roll with a range of 0-24? Basically, (8 + rand(0,24))? This makes alot of sence from a coding standpoint if the coder wasn't able to, or chose not to, simply do a (rand(8,32)). My only issue with the way the damage calculation was written above, could give false results when combined with other formulas. But yeah, its mostly a matter of preference. quote: Stat damage is essentially added on to max damage. Therefore it's basically like the same thing above, the game does add in the bonus stat damage, but to find the average value it's going to to add to your damage is in the middle (hence the 0.5). This is actually the same problem with the last part of the post, the base is unchanged, so using an armor with 100% base, you could hit as low as 8, which puts 12 within the range of possibility. So you are saying that the bonus stat damage is also a random value? So in this case, the stat damage wouldn't be applied as a flat 12.5, it would be a (rand(0,12.5))? So in entirety, it would be (8+(rand(0,24))+(rand(0,12.5))? If this is true, then that would indeed explain the low results. Edit: Going back to the way it is written in the post.. quote:* Normal Weapon Power = (Weapon Base) * (Armor Base) + (Weapon Random) * (Armor Random) / 2 + (Stat Damage) * (Armor Stat) / 2 And what you stated, if i'm understanding it correctly, it brings more confusion. (The lack of additional parenthesis/brackets really messes everything up) Which would be correct for our example of Hei Quan(8-32 damage, no special) when including bonus stat damage of 12.5(100str) and no armor bonus to damage? A. (8+(rand(0,24))+(rand(0,12.5)) B. (8+(rand(0,32))+(rand(0,12.5)) C. (rand(8,32))+(rand(0,12.5)) D. (rand(8,32))+12.5 To clear up possible confusion, the above formulas are "not" for calculating average damage, but the actual formula used by the game to calculate damage. A. Is what it sounds like you were quoting, where the minimum damage, 8, is applied as a constant, then added to a generated random number representing the maximum damage of the weapon, which is then added to a random generated number represented by the maximum bonus stat damage. B. With the way the OP's formula is written, it sounds like this is the way they think it is calculated. Unless they are saying "weapon random" is actually the value of the difference between the weapon's min and max damage, then they are basically applying the weapon's damage like the formula in B. C. and D. With what you stated in your response makes these incorrect, but I'm posting them in this response just in case. If any of this is true, I would suggest that the OP clarifies this in thier post. Adding a note stating that bonus stat damage is a random value between 0 and the bonus, a note stating to calculate "weapon random" you use the difference between the min/max of the weapon, and adding additional brackets/parenthesis to the formulas to correct them. There is a huge difference between: (Weapon Base) * (Armor Base) + (Weapon Random) * (Armor Random) / 2 + (Stat Damage) * (Armor Stat) / 2 and ((Weapon Base) * (Armor Base)) + (((Weapon Random) * (Armor Random)) / 2) + (((Stat Damage) * (Armor Stat)) / 2) This would help clear up alot of confusion. Edit: Also, one more question. If you are implying that the 'weapon random' is the difference between the min/max damage of the weapon, when the weapon or armor adds "Damage: 50% Base, Random, and Stats each", such as Fyre Force's special(8-32 damage, special=ranged,4hits@50% base/random/stats) with 12.5 total bonus stat damage, does that mean the special is calculated as: (80.5)+(rand(0,((32-8)0.5)))+(rand(0,(12.50.5))) per hit or (80.5)+((rand(0,(32-8)))0.5)+((rand(0,12.5))0.5) per hit Double post merged. ~JMill

JMill -> RE: Master List of Game Formulae (6/1/2011 17:23:54)
quote: so are you saying that the damage roll is actually applying the 8, and then doing a seperate random roll with a range of 0-24? Basically, (8 + rand(0,24))? This makes alot of sence from a coding standpoint if the coder wasn't able to, or chose not to, simply do a (rand(8,32)). My only issue with the way the damage calculation was written above, could give false results when combined with other formulas. But yeah, its mostly a matter of preference. Essentially, yes. Although I'm still not seeing how combining it with other formulas could yield false results. In fact, if you take a look at some of the spreadsheets he has linked, you'll see we routinely combine formulas and we've never had any problems with it. quote: Which would be correct for our example of Hei Quan(8-32 damage, no special) when including bonus stat damage of 12.5(100str) and no armor bonus to damage? A. (8+(rand(0,24))+(rand(0,12.5)) B. (8+(rand(0,32))+(rand(0,12.5)) C. (rand(8,32))+(rand(0,12.5)) D. (rand(8,32))+12.5 To clear up possible confusion, the above formulas are "not" for calculating average damage, but the actual formula used by the game to calculate damage. A. Is what it sounds like you were quoting, where the minimum damage, 8, is applied as a constant, then added to a generated random number representing the maximum damage of the weapon, which is then added to a random generated number represented by the maximum bonus stat damage. B. With the way the OP's formula is written, it sounds like this is the way they think it is calculated. Unless they are saying "weapon random" is actually the value of the difference between the weapon's min and max damage, then they are basically applying the weapon's damage like the formula in B. C. and D. With what you stated in your response makes these incorrect, but I'm posting them in this response just in case. Weapon random is the value of the difference between the weapons min and max. In fact if you look at the notes at the top of the page, this is clearly stated (quoted below). On the next part of that, I'll admit that coding isn't my forte, but if I'm understanding it right, A&C are just two ways of coding that would yield you the same results. quote: 3) Taking Nemesis' Condemnation as an example. Base Damage = 15 Max Damage = 29 Random Damage = Max Damage - Base Damage = 14 quote: If any of this is true, I would suggest that the OP clarifies this in thier post. Adding a note stating that bonus stat damage is a random value between 0 and the bonus, a note stating to calculate "weapon random" you use the difference between the min/max of the weapon, and adding additional brackets/parenthesis to the formulas to correct them. There is a huge difference between: (Weapon Base) * (Armor Base) + (Weapon Random) * (Armor Random) / 2 + (Stat Damage) * (Armor Stat) / 2 and ((Weapon Base) * (Armor Base)) + (((Weapon Random) * (Armor Random)) / 2) + (((Stat Damage) * (Armor Stat)) / 2) I'm not sure if you made a mistake in something you meant to type, but the two examples you gave are exactly the same mathematically. The only difference between the two is the use of superfluous parenthesis in the second example. It makes no difference in solving the function (and IMO the second one just makes the formula more confusing and sets you up to make mistakes by misreading a parenthesis). quote: If you are implying that the 'weapon random' is the difference between the min/max damage of the weapon, when the weapon or armor adds "Damage: 50% Base, Random, and Stats each", such as Fyre Force's special(8-32 damage, special=ranged,4hits@50% base/random/stats) with 12.5 total bonus stat damage, does that mean the special is calculated as: (80.5)+(rand(0,((32-8)0.5)))+(rand(0,(12.50.5))) per hit or (80.5)+((rand(0,(32-8)))0.5)+((rand(0,12.5))0.5) per hit The second one should be correct. If you take a look at the formula, order of operations dictates that you'd solve the random damage before applying armor modifiers.

Kaelin -> RE: Master List of Game Formulae (6/2/2011 6:02:38)
I believe JMill has fully addressed Faru's concerns already. To clarify the matter of the extra parentheses, the reason they are not needed is because the multiplication and division are evaluated before working out any addition and subtraction (order of operations). Regarding the Fyre Force example, while the second formula is more in-line with how the engine works, the two appear to be equivalent. I have done some minor revisions to the guide, particularly to provide a brief explanation of Order of Operations, and to mention that stat damage is strictly a "random" damage factor (not a guaranteed contributor).

Faru -> RE: Master List of Game Formulae (6/4/2011 11:27:50)
Those updates definately finishes off the guide for the most part, thanks. Kaelin, and/or JMill for that matter, May I ask what were your sources? Is there a resource for the codebase somewhere, or are you guys going by theory? I'm not questioning the validity of your claims, just wondering if there is a way that I could see the numbers firsthand without going through the trouble of messing with flash editors and the like.

Kaelin -> RE: Master List of Game Formulae (6/5/2011 6:55:47)
Sources come from all over the place: previous guide owners, various players, and game staff (either by asking them, looking at their announcements, or by looking at published Balance Standards -- although some of those standards are out of date). The research process has been up to guide owner discretion, but generally when formulas can be verified, we find and/or check them ourselves, and when we can't easily verify them, we ask a staff member. There is not an "official" source where all of this information is available, and that is ultimately why we have this guide. There are some cases where there may be "equivalent" formulas in place instead of the "true" formulas (for example, Pet BtH is actually coded as "CHA/20 + CHA/15" instead of "CHA*7/60"), but hopefully the results you see are correct.

ugauga -> RE: Master List of Game Formulae (7/8/2011 4:21:17)
@Kaelin Then, the item 20 (Notable Post-Sweep Equipment Standards) already can be used by players that want calculate by themselves? If no, what current calculations are officially valid?

Kaelin -> RE: Master List of Game Formulae (7/12/2011 23:34:05)
Yes, those equations/formulas should all be up-to-date, and you can use them to make calculations yourself. There are some formulas not listed, but you can glean most major things from that list. If you see any problems or notable omissions, please let me know.

BexnDan -> RE: Master List of Game Formulae (7/19/2011 9:11:46)
In the Notable Post-Sweep Equipment Standards section there is only one set of equations for pets. Are these for BM or non-BM pets and what would be the equivalent equations for the other type of pet?

Kaelin -> RE: Master List of Game Formulae (7/21/2011 16:42:19)
The equation for stat% listed was for BM pets. I have now clarified this point and added a formula for non-BM pets (all other formulas apply for both). Thanks!

Roblos -> RE: Master List of Game Formulae (7/31/2011 23:49:06)
I may be mistaken but the pedia entry's match the guide formula if we change the red text with the green one quote: [20] Notable Post-Sweep Equipment Standards ... Weapons Weapon Base Damage = [(1 - Wild)SCP/SABRM] Weapon Random Damage = [2SCP/SABRM] - 2(Weapon Base Damage) BTH per Hit = [Level/4] [Level/8] Armors Base Multiplier = [100 + 3PLvl] Random Multiplier = [100 + 3*PLvl] Stat Multiplier = SS BTH per Hit = [Level/4] [Level/8] Plus it seems that offensive armors get a 125% dmg bonus and the mid-offensive armors a 12.5% one, though I know nothing on how it affects the elemental modifiers

thundernukeer -> RE: Master List of Game Formulae (8/2/2011 11:38:30)
can you give the percent that i get (z-token) on the House Value the formula make me confuse even i know how to work it out but i want to know how many percent of the house prize will add to the sell cost ???

Kaelin -> RE: Master List of Game Formulae (8/3/2011 1:21:31)
Roblos: Your are correct regarding the four versus the eight. "Offensive armors" have 25% higher attack power (which translates to being 125% power). Similarly, being 12.5% more powerful than normal translates to having 112.5% power. These do not have a direct relationship on a player's Resistance. Rather, the lean of Offense on an armor determines how many "points" are available for Resistance and Defense, and it also determines the best Resistance an armor is allowed to have at a given level. Thundernukeer: I have added a note pertaining to your question: "Put more plainly, a house's value is about (90 + Weeks Owned)% of the purchase price, updated daily based off the time of day you purchased the house."

Cataclysm -> RE: Master List of Game Formulae (8/4/2011 3:18:36)
AQ's EXP and Gold cap formulae have been changed.

Kaelin -> RE: Master List of Game Formulae (8/4/2011 4:40:10)
Updated.

Razen -> RE: Master List of Game Formulae (9/5/2011 19:36:54)
So far, I've only noticed two formulae that seem to be missing. There's no gold scaling system for any equipment listed, nor the system for which monsters rewards are set up. If there are reasons for this, I'd like to know why. Because, seriously, this list makes Suggesting things so much easier but lacking those things make it 'so' much harder.

TRB1965 -> RE: Master List of Game Formulae (9/6/2011 19:55:40)
Here's the daily experience and gold caps using the new formula... ADVENTURER and GUARDIAN Level - Gold Cap - Experience Cap 1 - 2,500 - 3,800 2 - 4,500 - 7,100 3 - 6,500 - 10,400 4 - 8,500 - 13,700 5 - 10,500 - 17,000 6 - 12,500 - 20,300 7 - 14,500 - 23,600 8 - 16,500 - 26,900 9 - 18,500 - 30,200 10 - 20,500 - 33,500 11 - 22,500 - 36,800 12 - 24,500 - 40,100 13 - 26,500 - 43,400 14 - 28,500 - 46,700 15 - 30,500 - 50,000 16 - 32,500 - 53,300 17 - 34,500 - 56,600 18 - 36,500 - 59,900 19 - 38,500 - 63,200 20 - 40,500 - 66,500 21 - 42,500 - 69,800 22 - 44,500 - 73,100 23 - 46,500 - 76,400 24 - 48,500 - 79,700 25 - 50,500 - 83,000 26 - 52,500 - 86,300 27 - 54,500 - 89,600 28 - 56,500 - 92,900 29 - 58,500 - 96,200 30 - 60,500 - 99,500 31 - 62,500 - 102,800 32 - 64,500 - 106,100 33 - 66,500 - 109,400 34 - 68,500 - 112,700 35 - 70,500 - 116,000 36 - 72,500 - 119,300 37 - 74,500 - 122,600 38 - 76,500 - 125,900 39 - 78,500 - 129,200 40 - 80,500 - 132,500 41 - 82,500 - 135,800 42 - 84,500 - 139,100 43 - 86,500 - 142,400 44 - 88,500 - 145,700 45 - 90,500 - 149,000 46 - 92,500 - 152,300 47 - 94,500 - 155,600 48 - 96,500 - 158,900 49 - 98,500 - 162,200 50 - 100,500 - 165,500 51 - 102,500 - 168,800 52 - 104,500 - 172,100 53 - 106,500 - 175,400 54 - 108,500 - 178,700 55 - 110,500 - 182,000 56 - 112,500 - 185,300 57 - 114,500 - 188,600 58 - 116,500 - 191,900 59 - 118,500 - 195,200 60 - 120,500 - 198,500 61 - 122,500 - 201,800 62 - 124,500 - 205,100 63 - 126,500 - 208,400 64 - 128,500 - 211,700 65 - 130,500 - 215,000 66 - 132,500 - 218,300 67 - 134,500 - 221,600 68 - 136,500 - 224,900 69 - 138,500 - 228,200 70 - 140,500 - 231,500 71 - 142,500 - 234,800 72 - 144,500 - 238,100 73 - 146,500 - 241,400 74 - 148,500 - 244,700 75 - 150,500 - 248,000 76 - 152,500 - 251,300 77 - 154,500 - 254,600 78 - 156,500 - 257,900 79 - 158,500 - 261,200 80 - 160,500 - 264,500 81 - 162,500 - 267,800 82 - 164,500 - 271,100 83 - 166,500 - 274,400 84 - 168,500 - 277,700 85 - 170,500 - 281,000 86 - 172,500 - 284,300 87 - 174,500 - 287,600 88 - 176,500 - 290,900 89 - 178,500 - 294,200 90 - 180,500 - 297,500 91 - 182,500 - 300,800 92 - 184,500 - 304,100 93 - 186,500 - 307,400 94 - 188,500 - 310,700 95 - 190,500 - 314,000 96 - 192,500 - 317,300 97 - 194,500 - 320,600 98 - 196,500 - 323,900 99 - 198,500 - 327,200 100 - 200,500 - 330,500 101 - 202,500 - 333,800 102 - 204,500 - 337,100 103 - 206,500 - 340,400 104 - 208,500 - 343,700 105 - 210,500 - 347,000 106 - 212,500 - 350,300 107 - 214,500 - 353,600 108 - 216,500 - 356,900 109 - 218,500 - 360,200 110 - 220,500 - 363,500 111 - 222,500 - 366,800 112 - 224,500 - 370,100 113 - 226,500 - 373,400 114 - 228,500 - 376,700 115 - 230,500 - 380,000 116 - 232,500 - 383,300 117 - 234,500 - 386,600 118 - 236,500 - 389,900 119 - 238,500 - 393,200 120 - 240,500 - 396,500 121 - 242,500 - 399,800 122 - 244,500 - 403,100 123 - 246,500 - 406,400 124 - 248,500 - 409,700 125 - 250,500 - 413,000 126 - 252,500 - 416,300 127 - 254,500 - 419,600 128 - 256,500 - 422,900 129 - 258,500 - 426,200 130 - 260,500 - 429,500 131 - 262,500 - 432,800 132 - 264,500 - 436,100 133 - 266,500 - 439,400 134 - 268,500 - 442,700 135 - 270,500 - 446,000 136 - 272,500 - None X-GUARDIAN Level - Gold Cap - Experience Cap 1 - 2,750 - 4,180 2 - 4,950 - 7,810 3 - 7,150 - 11,440 4 - 9,350 - 15,070 5 - 11,550 - 18,700 6 - 13,750 - 22,330 7 - 15,950 - 25,960 8 - 18,150 - 29,590 9 - 20,350 - 33,220 10 - 22,550 - 36,850 11 - 24,750 - 40,480 12 - 26,950 - 44,110 13 - 29,150 - 47,740 14 - 31,350 - 51,370 15 - 33,550 - 55,000 16 - 35,750 - 58,630 17 - 37,950 - 62,260 18 - 40,150 - 65,890 19 - 42,350 - 69,520 20 - 44,550 - 73,150 21 - 46,750 - 76,780 22 - 48,950 - 80,410 23 - 51,150 - 84,040 24 - 53,350 - 87,670 25 - 55,550 - 91,300 26 - 57,750 - 94,930 27 - 59,950 - 98,560 28 - 62,150 - 102,190 29 - 64,350 - 105,820 30 - 66,550 - 109,450 31 - 68,750 - 113,080 32 - 70,950 - 116,710 33 - 73,150 - 120,340 34 - 75,350 - 123,970 35 - 77,550 - 127,600 36 - 79,750 - 131,230 37 - 81,950 - 134,860 38 - 84,150 - 138,490 39 - 86,350 - 142,120 40 - 88,550 - 145,750 41 - 90,750 - 149,380 42 - 92,950 - 153,010 43 - 95,150 - 156,640 44 - 97,350 - 160,270 45 - 99,550 - 163,900 46 - 101,750 - 167,530 47 - 103,950 - 171,160 48 - 106,150 - 174,790 49 - 108,350 - 178,420 50 - 110,550 - 182,050 51 - 112,750 - 185,680 52 - 114,950 - 189,310 53 - 117,150 - 192,940 54 - 119,350 - 196,570 55 - 121,550 - 200,200 56 - 123,750 - 203,830 57 - 125,950 - 207,460 58 - 128,150 - 211,090 59 - 130,350 - 214,720 60 - 132,550 - 218,350 61 - 134,750 - 221,980 62 - 136,950 - 225,610 63 - 139,150 - 229,240 64 - 141,350 - 232,870 65 - 143,550 - 236,500 66 - 145,750 - 240,130 67 - 147,950 - 243,760 68 - 150,150 - 247,390 69 - 152,350 - 251,020 70 - 154,550 - 254,650 71 - 156,750 - 258,280 72 - 158,950 - 261,910 73 - 161,150 - 265,540 74 - 163,350 - 269,170 75 - 165,550 - 272,800 76 - 167,750 - 276,430 77 - 169,950 - 280,060 78 - 172,150 - 283,690 79 - 174,350 - 287,320 80 - 176,550 - 290,950 81 - 178,750 - 294,580 82 - 180,950 - 298,210 83 - 183,150 - 301,840 84 - 185,350 - 305,470 85 - 187,550 - 309,100 86 - 189,750 - 312,730 87 - 191,950 - 316,360 88 - 194,150 - 319,990 89 - 196,350 - 323,620 90 - 198,550 - 327,250 91 - 200,750 - 330,880 92 - 202,950 - 334,510 93 - 205,150 - 338,140 94 - 207,350 - 341,770 95 - 209,550 - 345,400 96 - 211,750 - 349,030 97 - 213,950 - 352,660 98 - 216,150 - 356,290 99 - 218,350 - 359,920 100 - 220,550 - 363,550 101 - 222,750 - 367,180 102 - 224,950 - 370,810 103 - 227,150 - 374,440 104 - 229,350 - 378,070 105 - 231,550 - 381,700 106 - 233,750 - 385,330 107 - 235,950 - 388,960 108 - 238,150 - 392,590 109 - 240,350 - 396,220 110 - 242,550 - 399,850 111 - 244,750 - 403,480 112 - 246,950 - 407,110 113 - 249,150 - 410,740 114 - 251,350 - 414,370 115 - 253,550 - 418,000 116 - 255,750 - 421,630 117 - 257,950 - 425,260 118 - 260,150 - 428,890 119 - 262,350 - 432,520 120 - 264,550 - 436,150 121 - 266,750 - 439,780 122 - 268,950 - 443,410 123 - 271,150 - 447,040 124 - 273,350 - 450,670 125 - 275,550 - 454,300 126 - 277,750 - 457,930 127 - 279,950 - 461,560 128 - 282,150 - 465,190 129 - 284,350 - 468,820 130 - 286,550 - 472,450 131 - 288,750 - 476,080 132 - 290,950 - 479,710 133 - 293,150 - 483,340 134 - 295,350 - 486,970 135 - 297,550 - 490,600 136 - 299,750 - None

ArchMagus Orodalf -> RE: Master List of Game Formulae (9/6/2011 20:01:40)
@Razen in the post above: Monster stats have, historically, never been given to players (you'll notice that not much specificity is given in Monster Pedia entries). However... The average Experience monsters give is (31.055^PL +24 + 31.055^(PL^1.085)) (rounded) and the average Gold is that value divided by three. Note that this is for normal monsters. Bosses, for example, multiply this by 2.

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