Damage Calculation

As far as I can tell: yes. This formula is for the attacking team. It also works for the defending team when the damage gets increased by a factor of approx. 1.2

It looks like it. The calculated damage numbers are close to the actual damage or at least not far off. The exact numbers still need some tweaking as you can see with our efforts in this thread a little bit above, but it takes too much effort to get accurate data for that :sweat_smile:

Expected damage
[25.5 x 1213 x 320% / 246 + 0.0385 x (1213 x 320% – 0.93 x 246)] x 3 x 11/12 ±5% = 1416 (min=1345; max=1487)

[25.5 x 1213 x 520% / 246 + 0.0385 x (1213 x 520% – 0.93 x 246)] x 3 x 11/12 ±5% = 2317 (min=2201; max=2433)

actual damage from the screenshots:
with 320%: 1358 and 1375 versus 1345|1416|1487 (min|avg|max)
with 520%: 2319 and 2398 versus 2201|2317|2433 (min|avg|max)

formula seems to work :smiley:

Did 5 runs on S4 10-1 with the biome effect: +100% power for Special Skill attacks of green heroes.
I put Vela and Gobbler next to Ludwig to get them charged several times.

Vela with troop bonus: 847 ATK and 150% damage = 1270 attack power
Gobbler with troop bonus: 743 ATK and 170% damage = 1263 attack power
Gobbler with 270% damage: 2006 attack power

The defense of the Fungal Soldiers and Stompsharks ranged from 660 to 680. I didn’t get enough data (yet) because of the 5% variance, but here is what I got (so far):

Vela:

attack power defense actual min actual max avg calc avg calc min calc max 5% variation
1270 660 200 216 208 204 194 214 10
1270 665 200 215 207,5 202 192 212 10
1270 670 196 213 204,5 201 191 211 10
1270 675 198 211 204,5 199 189 209 10
1270 680 193 210 201,5 198 188 208 10

Gobbler with 270% special attack %:

attack power defense actual min actual max avg calc avg calc min calc max 5% variation
2006 660 351 383 367 360 342 378 18
2006 665 357 383 370 358 340 376 18
2006 670 344 383 363,5 356 338 374 18
2006 675 346 374 360 354 336 372 18
2006 680 341 374 357,5 352 334 370 18

The calculation for Vela is ok imho.
Gobbler does slightly more damage than what I expect with just 100% more special attack %

Still, it looks like the biome effect is simply added to the special attack %.

2 Likes

Thank you so much for the answer! It’s really useful and clear information and I am really grateful that you are doing this.

Imo this should be the main aim of the forum and not the usual buff this, nerf that, SG is :poop:, shut up, it’s their business and they can do whatever they want.

So thanks again for driving forward the quality of forum posts. And if you need any additional support with collecting data, let me know.

2 Likes

guys,
I have a doubt about special skill calculation. Example:
if I have a Milena, lets say, 4^lv80 with 800 attack
If I choose to limit break and a full attack emblem path and the new attack is 950:

Milena’s 2nd charge skill uses its 950 attack or its 800 attack to calculate the special skill damage?

thanks in advance. An amazing math discussion!

When Quenell first came out, there was data collected as @Radar1 pointed out, but I believe the data concluded what I posted above. After hearing others results I tested my own Quenell at the time, and did find that to be true (she was doing around 2x the damage). However, I did not record any data of my own and did not do continuous runs of my own. When, after a few of my runs seemed to confirm what others where saying, that was good enough for me. After seeing your image, that seemed a bit too far off to be within the range of what 2x damage could result in. I did 100 manual runs total of the same level during this AR to record the damage, 50 with base damage & 50 with 200% power, and took screenshots of the damage. In the few days after AR ends I’ll try to collage images together to post, because I am not going to post 100 screenshots here and clutter the messages up :rofl:. What I saw is that Quenell does NOT do 2x the damage anymore. I know that 50 of each type of hit isn’t a ton of data, but when none of the 200% power hits fall inside the the range of the base damage hits to be 2x the damage, that is a pretty good indication to me that something is different. I was incredibly lucky to get Quenell the very 1st CoK portal, so it has been some time since I compared these two hits, and she does crazy amounts of damage at 200% power as it currently stands (in ideal circumstances she follows up EDD & DD for me). What alarms me, is that this does appear different to when she was first released, without anything having ever been said about any adjustment to her skill/how the damage is determined. After reading what @Radar1 said, and having gathered these 100 screenshots, it has me questioning my sanity a little bit :woman_facepalming::grimacing::joy:. I honestly hope that it was just me misunderstanding/being confused (and not realizing it) from when she was 1st released (but then how would my own runs from back then fit in)…because as I said above, if there was a change to this at some point without mention, that would be alarming.

PS: I hope that this all makes sense above, as I am very sick and struggle to get my words out :crazy_face:

1 Like

No worries heroes get nerfed all the time

The special skill damage then uses the 950 attack for the damage calculation.

Expected damage for that example:
attacking team:
[25.5 x 950 x troop_attack_bonus x 420% / target’s_defense_during_battle + 0.0385 x (950 x troop_attack_bonus x 420% – 0.93 x target’s_defense_during_battle)] x 3 x 11/12 ±5%

defending team:
[25.5 x 950 x troop_attack_bonus x 420% / target’s_defense_during_battle + 0.0385 x (950 x troop_attack_bonus x 420% – 0.93 x target’s_defense_during_battle)] x 3 x 11/10 ±5%

Does this mean Quenelle has been nerfed? I still don’t understand ??

thanks bro, for the clear explanation!

1 Like

I don’t actually remember if Quenell was nerfed, I simply assumed that had it been the case of what whoever said the post above mine (the one you quoted) sorry no time to check—late for work—then she was probably nerfed (again I do not know).

@Zack

This would give you another set of test points for troop dmg vs weak colors:

s5 amulets:

This scarab amulet is earned upon completing s5:16-10 normal for the first time.

Cheers!

1 Like

I currently have a few videos of hard mode of provinces 34 and 35 where I used this scarab amulet.

According to the amulet description it increases the elemental bonus damage for troops (= tiles) against the weaker element by 200%.

From the various previous tests we know that elemental bonus damage is applied in the damage modifier for the tile damage:
If the target’s defense is smaller than 0.93% of the total attack, then
tile damage = [25.5 x total_attack / defense + 0.0385 x (total_attack – 0.93 x defense] x damage_modifier ±5%

with damage_modifier = (1+ elemental_bonus_damage% + critical_damage% + combo%) x (1 + TieBreaker%)

My team:
Rigard
Sekhmet with 1470 attack (= 992 x 1.24 x 1.2) with her +20% S5 bonus
Ludwig
Zenobia with 1194 attack (= 963 x 1.24)
Kullervo with 1182 attack (= 954*1.24)

test mission: S5 35-10 hard
Enemy mob has around 747 defense
Boss monsters have 1401 defense

test 1 with mob monsters:
active buffs/debuffs:
Zenobia’s +64%attack for red tiles

total_attack = (1470 + 1194) x (1 +64%) = 4378 attack
defense = 747 defense < 0.93 x 4378 => normal formula
damage_modifier = (1 + 100% + 200%) = 4

expected damage range:
[25.5 x 4378 / 747 + 0.0385 x (4378 – 0.93 x 747] x 4 ±5% = 1106|1165|1224 (avg|min|max)
versus actual damage 1103, 1116 and 1153

If I apply the 200% damage bonus from the amulet as a multiplicative bonus the calculated damage would be too high for the mob monsters:
damage_modifier = (1 + 100%) x (1 + 200%) = 6
[25.5 x 4378 / 747 + 0.0385 x (4378 – 0.93 x 747] x 6 ±5% = 1659|1747|1835 (avg|min|max)

test 2 with boss monster:
active buffs/debuffs:
+20% combo%

total_attack = 1182 attack
defense = 1401 defense > 0.93 x 1182 => reduced formula
damage_modifier = (1 + 100% + 200% + 20%) = 4.2

Since the target’s defense is higher than 93% of the attack, the formula is reduced to the first term.
=> expected damage range:
[25.5 x 1182 / 1401] x 4.2 ±5% = 85|90|94 (avg|min|max)
versus actual damage: 90 and 92

Result:
The amulet’s bonus damage against the weaker element is simply added to the strong elemental bonus damage, which doubles the already doubled tile damage

3 Likes

thanks @Zack for your analyses! I was just searching for threads on minion damage calcs, and found some of your old posts - they were very helpful!

1 Like

@Zack of all ppl I think you ought to be able to see if this actually works

Yk the dmg calculation better than all of us, long read but…?

-YouShouldBeHigher (aka Harbiner1777)

I need a TL;DR. What’s the current damage formula? I don’t want to obtain a PhD in statistics to decipher this thread.

1 Like

Since e(0) = 1 → θ = 1 on average.

So TL;DR the average/expected damage output is calculated as

Damage ≈ 100 x ( Att / Def ) ^ 1.35

4 Likes

Here is what I had calculated once upon a time (could be wrong or outdated)

Formula used -
image

Defense
Attack
600 618 636 654 672 690 708 726 744 762 780 798 816 834 852 870 888 906 924 942 960 978 996 1014 1032 1050
600 76 72 68 65 61 58 55 51 48 45 42 39 36 33 30 27 24 22 19 16 14 11 9 6 3 1
615 79 76 72 68 65 61 58 54 51 48 45 42 39 36 33 30 27 25 22 19 16 14 11 9 6 4
630 83 79 75 71 68 64 61 57 54 51 48 45 42 39 36 33 30 27 25 22 19 17 14 11 9 6
645 86 82 78 75 71 67 64 61 57 54 51 48 45 42 39 36 33 30 27 25 22 19 17 14 12 9
660 90 86 82 78 74 71 67 64 60 57 54 51 48 45 42 39 36 33 30 27 25 22 19 17 14 12
675 93 89 85 81 77 74 70 67 63 60 57 54 51 48 45 42 39 36 33 30 27 25 22 19 17 14
690 96 92 88 84 81 77 73 70 66 63 60 57 53 50 47 44 41 39 36 33 30 27 25 22 20 17
705 100 96 92 88 84 80 76 73 69 66 63 60 56 53 50 47 44 41 39 36 33 30 27 25 22 20
720 103 99 95 91 87 83 80 76 73 69 66 63 59 56 53 50 47 44 41 39 36 33 30 28 25 22
735 107 102 98 94 90 86 83 79 76 72 69 66 62 59 56 53 50 47 44 41 38 36 33 30 28 25
750 110 106 101 97 93 90 86 82 79 75 72 68 65 62 59 56 53 50 47 44 41 38 36 33 30 28
765 113 109 105 101 97 93 89 85 82 78 75 71 68 65 62 59 56 53 50 47 44 41 38 36 33 30
780 117 112 108 104 100 96 92 88 85 81 78 74 71 68 65 62 58 55 52 50 47 44 41 38 36 33
795 120 116 111 107 103 99 95 92 88 84 81 77 74 71 68 64 61 58 55 52 49 47 44 41 38 35
810 124 119 115 110 106 102 98 95 91 87 84 80 77 74 70 67 64 61 58 55 52 49 46 44 41 38
825 127 122 118 114 109 105 102 98 94 90 87 83 80 77 73 70 67 64 61 58 55 52 49 46 44 41
840 130 126 121 117 113 109 105 101 97 93 90 86 83 80 76 73 70 67 64 61 58 55 52 49 46 43
855 134 129 125 120 116 112 108 104 100 96 93 89 86 82 79 76 73 70 66 63 60 57 55 52 49 46
870 137 132 128 123 119 115 111 107 103 99 96 92 89 85 82 79 75 72 69 66 63 60 57 54 52 49
885 141 136 131 127 122 118 114 110 106 102 99 95 92 88 85 82 78 75 72 69 66 63 60 57 54 51
900 144 139 134 130 126 121 117 113 109 105 102 98 95 91 88 84 81 78 75 72 69 66 63 60 57 54
915 147 142 138 133 129 124 120 116 112 109 105 101 98 94 91 87 84 81 78 74 71 68 65 62 60 57
930 151 146 141 136 132 128 123 119 115 112 108 104 100 97 94 90 87 84 80 77 74 71 68 65 62 59
945 154 149 144 140 135 131 127 122 118 115 111 107 103 100 96 93 90 86 83 80 77 74 71 68 65 62
960 158 153 148 143 138 134 130 126 122 118 114 110 106 103 99 96 92 89 86 83 80 77 73 70 68 65
975 161 156 151 146 142 137 133 129 125 121 117 113 109 106 102 99 95 92 89 86 82 79 76 73 70 67
990 164 159 154 149 145 140 136 132 128 124 120 116 112 109 105 102 98 95 92 88 85 82 79 76 73 70
1005 168 163 158 153 148 144 139 135 131 127 123 119 115 112 108 104 101 98 94 91 88 85 82 79 76 73
1020 171 166 161 156 151 147 142 138 134 130 126 122 118 114 111 107 104 100 97 94 91 87 84 81 78 75
1035 175 169 164 159 154 150 145 141 137 133 129 125 121 117 114 110 107 103 100 97 93 90 87 84 81 78
1050 178 173 167 162 158 153 149 144 140 136 132 128 124 120 117 113 109 106 103 99 96 93 90 87 84 81
1065 181 176 171 166 161 156 152 147 143 139 135 131 127 123 119 116 112 109 105 102 99 96 92 89 86 83
1080 185 179 174 169 164 159 155 150 146 142 138 134 130 126 122 119 115 112 108 105 102 98 95 92 89 86
1095 188 183 177 172 167 163 158 153 149 145 141 137 133 129 125 122 118 114 111 108 104 101 98 95 92 88
1110 192 186 181 176 171 166 161 157 152 148 144 140 136 132 128 124 121 117 114 110 107 104 101 97 94 91
1125 195 189 184 179 174 169 164 160 155 151 147 143 139 135 131 127 124 120 117 113 110 106 103 100 97 94
1140 198 193 187 182 177 172 167 163 158 154 150 146 142 138 134 130 126 123 119 116 113 109 106 103 100 96
1155 202 196 191 185 180 175 170 166 161 157 153 149 145 141 137 133 129 126 122 119 115 112 109 105 102 99
1170 205 199 194 189 183 178 174 169 164 160 156 152 147 144 140 136 132 128 125 121 118 115 111 108 105 102
1185 209 203 197 192 187 182 177 172 167 163 159 154 150 146 143 139 135 131 128 124 121 117 114 111 108 104
1200 212 206 200 195 190 185 180 175 171 166 162 157 153 149 145 142 138 134 131 127 124 120 117 113 110 107
1215 215 209 204 198 193 188 183 178 174 169 165 160 156 152 148 144 141 137 133 130 126 123 119 116 113 110
1230 219 213 207 202 196 191 186 181 177 172 168 163 159 155 151 147 143 140 136 133 129 126 122 119 116 112
1245 222 216 210 205 199 194 189 184 180 175 171 166 162 158 154 150 146 143 139 135 132 128 125 121 118 115
1260 226 220 214 208 203 197 192 187 183 178 174 169 165 161 157 153 149 145 142 138 134 131 128 124 121 118
1275 229 223 217 211 206 201 196 191 186 181 177 172 168 164 160 156 152 148 144 141 137 134 130 127 124 120
1290 232 226 220 215 209 204 199 194 189 184 180 175 171 167 163 159 155 151 147 144 140 136 133 130 126 123
1305 236 230 224 218 212 207 202 197 192 187 183 178 174 170 166 162 158 154 150 146 143 139 136 132 129 126
1320 239 233 227 221 216 210 205 200 195 190 186 181 177 173 168 164 160 157 153 149 145 142 138 135 132 128
1335 243 236 230 224 219 213 208 203 198 193 189 184 180 176 171 167 163 159 156 152 148 145 141 138 134 131
1350 246 240 233 228 222 216 211 206 201 196 192 187 183 178 174 170 166 162 158 155 151 147 144 140 137 134
1365 249 243 237 231 225 220 214 209 204 199 195 190 186 181 177 173 169 165 161 157 154 150 146 143 140 136
1380 253 246 240 234 228 223 217 212 207 202 198 193 189 184 180 176 172 168 164 160 156 153 149 146 142 139
1395 256 250 243 237 232 226 221 215 210 205 201 196 192 187 183 179 175 171 167 163 159 155 152 148 145 141
1410 260 253 247 241 235 229 224 218 213 208 204 199 194 190 186 182 177 173 170 166 162 158 155 151 148 144
1425 263 256 250 244 238 232 227 222 216 211 207 202 197 193 189 184 180 176 172 168 165 161 157 154 150 147
1440 266 260 253 247 241 235 230 225 219 214 210 205 200 196 192 187 183 179 175 171 167 164 160 156 153 149
1455 270 263 257 250 244 239 233 228 223 218 213 208 203 199 194 190 186 182 178 174 170 166 163 159 156 152
1470 273 266 260 254 248 242 236 231 226 221 216 211 206 202 197 193 189 185 181 177 173 169 165 162 158 155
1485 277 270 263 257 251 245 239 234 229 224 219 214 209 205 200 196 192 187 183 180 176 172 168 164 161 157
1500 280 273 266 260 254 248 243 237 232 227 222 217 212 207 203 199 194 190 186 182 178 175 171 167 164 160
1515 283 276 270 263 257 251 246 240 235 230 225 220 215 210 206 202 197 193 189 185 181 177 174 170 166 163
1530 287 280 273 267 260 255 249 243 238 233 228 223 218 213 209 204 200 196 192 188 184 180 176 173 169 165
1545 290 283 276 270 264 258 252 246 241 236 231 226 221 216 212 207 203 199 195 191 187 183 179 175 172 168
1560 294 286 280 273 267 261 255 249 244 239 234 229 224 219 215 210 206 202 197 193 189 185 182 178 174 171
1575 297 290 283 276 270 264 258 253 247 242 237 232 227 222 217 213 209 204 200 196 192 188 184 181 177 173
1590 300 293 286 280 273 267 261 256 250 245 240 235 230 225 220 216 211 207 203 199 195 191 187 183 180 176
1605 304 297 290 283 277 270 264 259 253 248 243 238 233 228 223 219 214 210 206 202 198 194 190 186 182 179
1620 307 300 293 286 280 274 268 262 256 251 246 241 236 231 226 222 217 213 209 204 200 196 192 189 185 181
1635 311 303 296 289 283 277 271 265 259 254 249 243 239 234 229 224 220 216 211 207 203 199 195 191 188 184
1650 314 307 300 293 286 280 274 268 262 257 252 246 241 237 232 227 223 218 214 210 206 202 198 194 190 187
1665 317 310 303 296 289 283 277 271 265 260 255 249 244 239 235 230 226 221 217 213 209 205 201 197 193 189
1680 321 313 306 299 293 286 280 274 268 263 258 252 247 242 238 233 228 224 220 215 211 207 203 199 196 192
1695 324 317 309 302 296 289 283 277 272 266 261 255 250 245 241 236 231 227 222 218 214 210 206 202 198 194
1710 328 320 313 306 299 293 286 280 275 269 264 258 253 248 243 239 234 230 225 221 217 213 209 205 201 197
1725 331 323 316 309 302 296 290 283 278 272 267 261 256 251 246 242 237 232 228 224 220 215 211 207 204 200
1740 334 327 319 312 305 299 293 287 281 275 270 264 259 254 249 244 240 235 231 226 222 218 214 210 206 202
1755 338 330 323 315 309 302 296 290 284 278 273 267 262 257 252 247 243 238 234 229 225 221 217 213 209 205
1770 341 333 326 319 312 305 299 293 287 281 276 270 265 260 255 250 245 241 236 232 228 224 219 215 212 208
1785 345 337 329 322 315 308 302 296 290 284 279 273 268 263 258 253 248 244 239 235 231 226 222 218 214 210
1800 348 340 333 325 318 312 305 299 293 287 282 276 271 266 261 256 251 246 242 238 233 229 225 221 217 213
1815 351 343 336 329 322 315 308 302 296 290 285 279 274 269 264 259 254 249 245 240 236 232 228 224 220 216
1830 355 347 339 332 325 318 311 305 299 293 288 282 277 271 266 262 257 252 248 243 239 234 230 226 222 218
1845 358 350 342 335 328 321 315 308 302 296 291 285 280 274 269 264 260 255 250 246 241 237 233 229 225 221
1860 362 353 346 338 331 324 318 311 305 299 294 288 283 277 272 267 262 258 253 249 244 240 236 232 228 224
1875 365 357 349 342 334 327 321 314 308 302 297 291 285 280 275 270 265 261 256 251 247 243 238 234 230 226
1890 368 360 352 345 338 331 324 318 311 305 300 294 288 283 278 273 268 263 259 254 250 245 241 237 233 229
1905 372 364 356 348 341 334 327 321 314 308 303 297 291 286 281 276 271 266 261 257 252 248 244 240 236 232
1920 375 367 359 351 344 337 330 324 317 311 306 300 294 289 284 279 274 269 264 260 255 251 247 242 238 234
1935 379 370 362 355 347 340 333 327 321 314 309 303 297 292 287 282 277 272 267 262 258 254 249 245 241 237
1950 382 374 366 358 350 343 336 330 324 317 312 306 300 295 290 284 279 275 270 265 261 256 252 248 244 240
1965 385 377 369 361 354 346 340 333 327 320 314 309 303 298 292 287 282 277 273 268 263 259 255 250 246 242
1980 389 380 372 364 357 350 343 336 330 323 317 312 306 301 295 290 285 280 275 271 266 262 257 253 249 245
1995 392 384 375 368 360 353 346 339 333 327 320 315 309 303 298 293 288 283 278 273 269 264 260 256 252 247
2010 396 387 379 371 363 356 349 342 336 330 323 318 312 306 301 296 291 286 281 276 272 267 263 258 254 250
2025 399 390 382 374 366 359 352 345 339 333 326 321 315 309 304 299 294 289 284 279 274 270 265 261 257 253
2040 402 394 385 377 370 362 355 348 342 336 329 324 318 312 307 302 296 291 287 282 277 273 268 264 260 255
2055 406 397 389 381 373 366 358 352 345 339 332 327 321 315 310 304 299 294 289 285 280 275 271 267 262 258
2070 409 400 392 384 376 369 362 355 348 342 335 329 324 318 313 307 302 297 292 287 283 278 274 269 265 261
2085 413 404 395 387 379 372 365 358 351 345 338 332 327 321 315 310 305 300 295 290 285 281 276 272 268 263
2100 416 407 399 390 383 375 368 361 354 348 341 335 330 324 318 313 308 303 298 293 288 284 279 275 270 266
2115 419 410 402 394 386 378 371 364 357 351 344 338 332 327 321 316 311 305 300 296 291 286 282 277 273 269
2130 423 414 405 397 389 381 374 367 360 354 347 341 335 330 324 319 313 308 303 298 294 289 284 280 276 271
2145 426 417 408 400 392 385 377 370 363 357 350 344 338 333 327 322 316 311 306 301 296 292 287 283 278 274
2160 430 420 412 403 395 388 380 373 366 360 353 347 341 335 330 324 319 314 309 304 299 294 290 285 281 277
2175 433 424 415 407 399 391 383 376 369 363 356 350 344 338 333 327 322 317 312 307 302 297 293 288 284 279
2190 436 427 418 410 402 394 387 379 373 366 359 353 347 341 336 330 325 320 314 309 305 300 295 291 286 282
2205 440 431 422 413 405 397 390 383 376 369 362 356 350 344 339 333 328 322 317 312 307 303 298 293 289 285
2220 443 434 425 416 408 400 393 386 379 372 365 359 353 347 341 336 330 325 320 315 310 305 301 296 292 287
2235 447 437 428 420 411 404 396 389 382 375 368 362 356 350 344 339 333 328 323 318 313 308 303 299 294 290
2250 450 441 432 423 415 407 399 392 385 378 371 365 359 353 347 342 336 331 326 320 316 311 306 301 297 293
2265 453 444 435 426 418 410 402 395 388 381 374 368 362 356 350 344 339 334 328 323 318 313 309 304 300 295
2280 457 447 438 429 421 413 405 398 391 384 377 371 365 359 353 347 342 336 331 326 321 316 311 307 302 298
2295 460 451 441 433 424 416 409 401 394 387 380 374 368 362 356 350 345 339 334 329 324 319 314 309 305 300
2310 464 454 445 436 428 419 412 404 397 390 383 377 371 365 359 353 347 342 337 332 327 322 317 312 308 303
2325 467 457 448 439 431 423 415 407 400 393 386 380 374 367 362 356 350 345 339 334 329 324 320 315 310 306
2340 470 461 451 442 434 426 418 410 403 396 389 383 377 370 364 359 353 348 342 337 332 327 322 318 313 308
2355 474 464 455 446 437 429 421 414 406 399 392 386 379 373 367 362 356 350 345 340 335 330 325 320 316 311
2370 477 467 458 449 440 432 424 417 409 402 395 389 382 376 370 364 359 353 348 343 338 333 328 323 318 314
2385 481 471 461 452 444 435 427 420 412 405 398 392 385 379 373 367 362 356 351 345 340 335 330 326 321 316
2400 484 474 465 455 447 438 430 423 415 408 401 395 388 382 376 370 364 359 353 348 343 338 333 328 324 319
2415 487 477 468 459 450 442 434 426 418 411 404 398 391 385 379 373 367 362 356 351 346 341 336 331 326 322
2430 491 481 471 462 453 445 437 429 422 414 407 401 394 388 382 376 370 364 359 354 348 343 338 334 329 324
2445 494 484 474 465 456 448 440 432 425 417 410 404 397 391 385 379 373 367 362 356 351 346 341 336 332 327
2460 498 487 478 469 460 451 443 435 428 420 413 407 400 394 388 382 376 370 365 359 354 349 344 339 334 330
2475 501 491 481 472 463 454 446 438 431 423 416 410 403 397 390 384 379 373 367 362 357 352 347 342 337 332
2490 504 494 484 475 466 458 449 441 434 426 419 413 406 399 393 387 381 376 370 365 359 354 349 344 340 335
2505 508 497 488 478 469 461 452 444 437 429 422 415 409 402 396 390 384 378 373 367 362 357 352 347 342 338
2520 511 501 491 482 473 464 456 448 440 432 425 418 412 405 399 393 387 381 376 370 365 360 355 350 345 340
2535 515 504 494 485 476 467 459 451 443 436 428 421 415 408 402 396 390 384 378 373 368 362 357 352 348 343
2550 518 508 498 488 479 470 462 454 446 439 431 424 418 411 405 399 393 387 381 376 370 365 360 355 350 346
2565 521 511 501 491 482 473 465 457 449 442 434 427 421 414 408 402 396 390 384 379 373 368 363 358 353 348
2580 525 514 504 495 485 477 468 460 452 445 437 430 424 417 411 404 398 393 387 381 376 371 366 361 356 351
2595 528 518 507 498 489 480 471 463 455 448 440 433 426 420 413 407 401 395 390 384 379 373 368 363 358 353
2610 532 521 511 501 492 483 474 466 458 451 443 436 429 423 416 410 404 398 392 387 381 376 371 366 361 356
2625 535 524 514 504 495 486 477 469 461 454 446 439 432 426 419 413 407 401 395 390 384 379 374 369 364 359
2640 538 528 517 508 498 489 481 472 464 457 449 442 435 429 422 416 410 404 398 392 387 382 376 371 366 361
2655 542 531 521 511 501 492 484 475 467 460 452 445 438 431 425 419 413 407 401 395 390 384 379 374 369 364
2670 545 534 524 514 505 496 487 479 471 463 455 448 441 434 428 422 415 409 404 398 392 387 382 377 372 367
2685 549 538 527 517 508 499 490 482 474 466 458 451 444 437 431 424 418 412 406 401 395 390 384 379 374 369
2700 552 541 531 521 511 502 493 485 477 469 461 454 447 440 434 427 421 415 409 403 398 392 387 382 377 372
2715 555 544 534 524 514 505 496 488 480 472 464 457 450 443 437 430 424 418 412 406 401 395 390 385 380 375
2730 559 548 537 527 517 508 499 491 483 475 467 460 453 446 439 433 427 421 415 409 403 398 393 387 382 377
2745 562 551 540 530 521 511 503 494 486 478 470 463 456 449 442 436 430 423 418 412 406 401 395 390 385 380
2760 566 554 544 534 524 515 506 497 489 481 473 466 459 452 445 439 432 426 420 414 409 403 398 393 388 383
2775 569 558 547 537 527 518 509 500 492 484 476 469 462 455 448 442 435 429 423 417 412 406 401 395 390 385
2790 572 561 550 540 530 521 512 503 495 487 479 472 465 458 451 444 438 432 426 420 414 409 403 398 393 388
2805 576 564 554 543 534 524 515 506 498 490 482 475 468 461 454 447 441 435 429 423 417 412 406 401 396 391
2820 579 568 557 547 537 527 518 510 501 493 485 478 471 463 457 450 444 437 431 426 420 414 409 403 398 393
2835 583 571 560 550 540 530 521 513 504 496 488 481 473 466 460 453 447 440 434 428 423 417 411 406 401 396
2850 586 575 564 553 543 534 524 516 507 499 491 484 476 469 462 456 449 443 437 431 425 420 414 409 404 399
2865 589 578 567 556 546 537 528 519 510 502 494 487 479 472 465 459 452 446 440 434 428 422 417 412 406 401
2880 593 581 570 560 550 540 531 522 513 505 497 490 482 475 468 462 455 449 443 437 431 425 420 414 409 404
2895 596 585 573 563 553 543 534 525 516 508 500 493 485 478 471 464 458 452 445 439 434 428 422 417 412 406
2910 600 588 577 566 556 546 537 528 519 511 503 496 488 481 474 467 461 454 448 442 436 431 425 420 414 409
2925 603 591 580 569 559 549 540 531 523 514 506 499 491 484 477 470 464 457 451 445 439 433 428 422 417 412
2940 606 595 583 573 562 553 543 534 526 517 509 501 494 487 480 473 466 460 454 448 442 436 430 425 420 414
2955 610 598 587 576 566 556 546 537 529 520 512 504 497 490 483 476 469 463 457 450 445 439 433 428 422 417
2970 613 601 590 579 569 559 550 540 532 523 515 507 500 493 486 479 472 466 459 453 447 441 436 430 425 420
2985 617 605 593 582 572 562 553 544 535 526 518 510 503 495 488 482 475 468 462 456 450 444 439 433 428 422
3000 620 608 597 586 575 565 556 547 538 529 521 513 506 498 491 484 478 471 465 459 453 447 441 436 430 425
3015 623 611 600 589 579 569 559 550 541 532 524 516 509 501 494 487 481 474 468 461 455 450 444 438 433 428
3030 627 615 603 592 582 572 562 553 544 535 527 519 512 504 497 490 483 477 470 464 458 452 447 441 436 430
3045 630 618 606 595 585 575 565 556 547 538 530 522 515 507 500 493 486 480 473 467 461 455 449 444 438 433
3060 634 621 610 599 588 578 568 559 550 542 533 525 518 510 503 496 489 482 476 470 464 458 452 446 441 436
3075 637 625 613 602 591 581 571 562 553 545 536 528 520 513 506 499 492 485 479 473 466 461 455 449 444 438
3090 640 628 616 605 595 584 575 565 556 548 539 531 523 516 509 502 495 488 482 475 469 463 457 452 446 441
3105 644 631 620 608 598 588 578 568 559 551 542 534 526 519 511 504 498 491 484 478 472 466 460 454 449 444
3120 647 635 623 612 601 591 581 571 562 554 545 537 529 522 514 507 500 494 487 481 475 469 463 457 452 446
3135 651 638 626 615 604 594 584 575 565 557 548 540 532 525 517 510 503 496 490 484 477 471 466 460 454 449
3150 654 641 630 618 607 597 587 578 568 560 551 543 535 527 520 513 506 499 493 486 480 474 468 463 457 452
3165 657 645 633 622 611 600 590 581 572 563 554 546 538 530 523 516 509 502 496 489 483 477 471 465 460 454
3180 661 648 636 625 614 603 593 584 575 566 557 549 541 533 526 519 512 505 498 492 486 480 474 468 462 457
3195 664 652 640 628 617 607 597 587 578 569 560 552 544 536 529 522 515 508 501 495 488 482 476 471 465 459
3210 668 655 643 631 620 610 600 590 581 572 563 555 547 539 532 524 517 511 504 497 491 485 479 473 468 462
3225 671 658 646 635 623 613 603 593 584 575 566 558 550 542 535 527 520 513 507 500 494 488 482 476 470 465
3240 674 662 649 638 627 616 606 596 587 578 569 561 553 545 537 530 523 516 509 503 497 491 485 479 473 467
3255 678 665 653 641 630 619 609 599 590 581 572 564 556 548 540 533 526 519 512 506 499 493 487 481 476 470
3270 681 668 656 644 633 622 612 602 593 584 575 567 559 551 543 536 529 522 515 508 502 496 490 484 478 473
3285 685 672 659 648 636 626 615 605 596 587 578 570 562 554 546 539 532 525 518 511 505 499 493 487 481 475
3300 688 675 663 651 640 629 618 609 599 590 581 573 564 557 549 542 534 527 521 514 508 501 495 489 484 478
3315 691 678 666 654 643 632 622 612 602 593 584 576 567 559 552 544 537 530 523 517 510 504 498 492 486 481
3330 695 682 669 657 646 635 625 615 605 596 587 579 570 562 555 547 540 533 526 520 513 507 501 495 489 483
3345 698 685 673 661 649 638 628 618 608 599 590 582 573 565 558 550 543 536 529 522 516 510 503 497 492 486
3360 702 688 676 664 652 641 631 621 611 602 593 585 576 568 560 553 546 539 532 525 519 512 506 500 494 489
3375 705 692 679 667 656 645 634 624 614 605 596 588 579 571 563 556 548 541 535 528 521 515 509 503 497 491
3390 708 695 682 670 659 648 637 627 617 608 599 590 582 574 566 559 551 544 537 531 524 518 512 506 500 494
3405 712 698 686 674 662 651 640 630 621 611 602 593 585 577 569 562 554 547 540 533 527 520 514 508 502 497
3420 715 702 689 677 665 654 644 633 624 614 605 596 588 580 572 564 557 550 543 536 530 523 517 511 505 499
3435 719 705 692 680 668 657 647 636 627 617 608 599 591 583 575 567 560 553 546 539 532 526 520 514 508 502
3450 722 708 696 683 672 661 650 640 630 620 611 602 594 586 578 570 563 555 548 542 535 529 522 516 510 505
3465 725 712 699 687 675 664 653 643 633 623 614 605 597 589 581 573 565 558 551 544 538 531 525 519 513 507
3480 729 715 702 690 678 667 656 646 636 626 617 608 600 591 584 576 568 561 554 547 541 534 528 522 516 510
3495 732 719 706 693 681 670 659 649 639 629 620 611 603 594 586 579 571 564 557 550 543 537 530 524 518 512
3510 736 722 709 696 685 673 662 652 642 632 623 614 606 597 589 582 574 567 560 553 546 540 533 527 521 515
3525 739 725 712 700 688 676 665 655 645 635 626 617 609 600 592 584 577 570 562 555 549 542 536 530 524 518
3540 742 729 715 703 691 680 669 658 648 638 629 620 611 603 595 587 580 572 565 558 552 545 539 532 526 520
3555 746 732 719 706 694 683 672 661 651 641 632 623 614 606 598 590 582 575 568 561 554 548 541 535 529 523
3570 749 735 722 709 697 686 675 664 654 644 635 626 617 609 601 593 585 578 571 564 557 550 544 538 532 526
3585 753 739 725 713 701 689 678 667 657 647 638 629 620 612 604 596 588 581 574 567 560 553 547 540 534 528
3600 756 742 729 716 704 692 681 671 660 651 641 632 623 615 607 599 591 584 576 569 563 556 549 543 537 531
3615 759 745 732 719 707 695 684 674 663 654 644 635 626 618 609 602 594 586 579 572 565 559 552 546 540 534
3630 763 749 735 722 710 699 687 677 666 657 647 638 629 621 612 604 597 589 582 575 568 561 555 548 542 536
3645 766 752 739 726 713 702 691 680 669 660 650 641 632 623 615 607 599 592 585 578 571 564 558 551 545 539
3660 770 755 742 729 717 705 694 683 673 663 653 644 635 626 618 610 602 595 587 580 573 567 560 554 548 542
3675 773 759 745 732 720 708 697 686 676 666 656 647 638 629 621 613 605 598 590 583 576 569 563 557 550 544
3690 776 762 748 735 723 711 700 689 679 669 659 650 641 632 624 616 608 600 593 586 579 572 566 559 553 547
3705 780 765 752 739 726 714 703 692 682 672 662 653 644 635 627 619 611 603 596 589 582 575 568 562 556 550
3720 783 769 755 742 730 718 706 695 685 675 665 656 647 638 630 622 614 606 599 591 584 578 571 565 558 552
3735 787 772 758 745 733 721 709 698 688 678 668 659 650 641 633 624 616 609 601 594 587 580 574 567 561 555
3750 790 775 762 748 736 724 712 701 691 681 671 662 653 644 635 627 619 612 604 597 590 583 576 570 564 558
3765 793 779 765 752 739 727 716 705 694 684 674 665 656 647 638 630 622 614 607 600 593 586 579 573 566 560
3780 797 782 768 755 742 730 719 708 697 687 677 668 658 650 641 633 625 617 610 602 595 589 582 575 569 563
3795 800 786 772 758 746 733 722 711 700 690 680 671 661 653 644 636 628 620 613 605 598 591 585 578 572 565
3810 804 789 775 761 749 737 725 714 703 693 683 674 664 655 647 639 631 623 615 608 601 594 587 581 574 568
3825 807 792 778 765 752 740 728 717 706 696 686 676 667 658 650 642 633 626 618 611 604 597 590 583 577 571
3840 810 796 781 768 755 743 731 720 709 699 689 679 670 661 653 644 636 628 621 614 606 599 593 586 580 573
3855 814 799 785 771 758 746 734 723 712 702 692 682 673 664 656 647 639 631 624 616 609 602 595 589 582 576
3870 817 802 788 775 762 749 738 726 715 705 695 685 676 667 658 650 642 634 626 619 612 605 598 591 585 579
3885 821 806 791 778 765 752 741 729 718 708 698 688 679 670 661 653 645 637 629 622 615 608 601 594 588 581
3900 824 809 795 781 768 756 744 732 722 711 701 691 682 673 664 656 648 640 632 625 617 610 603 597 590 584
3915 827 812 798 784 771 759 747 736 725 714 704 694 685 676 667 659 650 643 635 627 620 613 606 600 593 587
3930 831 816 801 788 774 762 750 739 728 717 707 697 688 679 670 662 653 645 638 630 623 616 609 602 596 589
3945 834 819 805 791 778 765 753 742 731 720 710 700 691 682 673 664 656 648 640 633 626 619 612 605 598 592
3960 838 822 808 794 781 768 756 745 734 723 713 703 694 685 676 667 659 651 643 636 628 621 614 608 601 595
3975 841 826 811 797 784 772 759 748 737 726 716 706 697 687 679 670 662 654 646 638 631 624 617 610 604 597
3990 844 829 814 801 787 775 763 751 740 729 719 709 700 690 682 673 665 657 649 641 634 627 620 613 606 600
4005 848 832 818 804 791 778 766 754 743 732 722 712 703 693 684 676 667 659 652 644 637 629 622 616 609 603
4020 851 836 821 807 794 781 769 757 746 735 725 715 705 696 687 679 670 662 654 647 639 632 625 618 612 605
4035 855 839 824 810 797 784 772 760 749 738 728 718 708 699 690 682 673 665 657 649 642 635 628 621 614 608
4050 858 842 828 814 800 787 775 763 752 741 731 721 711 702 693 684 676 668 660 652 645 638 631 624 617 611
4 Likes

image

  1. Risk and Reward for Low Defense: Characters with low defense stats are at a higher risk due to the division by defense in the formula. However, if such characters also have high attack stats, they can potentially deal massive damage before getting hit. This creates a risk-reward scenario, making gameplay more dynamic and strategic.
  2. Scaling for Various Scenarios: The formula scales well for both ‘David vs. Goliath’ and ‘Equal Power’ scenarios. In an ‘Equal Power’ situation where both attack and defense are similar, the damage done is moderate, making battles longer and more tactical. In ‘David vs. Goliath’ scenarios, where there’s a significant difference between attack and defense, the formula allows for potential upsets, making the game more exciting.
  3. Avoiding Snowballing: In many games, a slight lead in stats can snowball into an insurmountable advantage. The division by defense in this formula can act as a counterbalance. Even if a character is significantly stronger, if they have low defense, they can still be defeated, thus preventing a runaway leader scenario.
  4. Diverse Character Builds: The formula’s sensitivity to both high attack and low defense encourages diverse character builds. Players may opt for a balanced approach, maximizing both attack and defense, or may specialize, maximizing one stat at the expense of the other, which can still be effective but requires different strategies.
  5. Complex Decision-making: The formula isn’t straightforward, meaning players will need to think critically about how they allocate their stats. This adds an extra layer of strategy to the game, as players must consider not just raw numbers but also how those numbers interact.
  6. Tactical Gameplay: Because the formula incorporates both attack and defense in a non-linear manner, it encourages players to think tactically. For instance, using a special move that temporarily boosts attack could be far more effective when the enemy’s defense is lowered, adding a layer of depth to combat.
  7. Late-Game Viability: As characters level up and both attack and defense stats increase, the formula ensures that both stats remain relevant. This ensures that early-game characters and strategies do not become obsolete, maintaining game balance throughout different stages of gameplay.
  8. Check and Balance: The linear terms in the formula act as a check and balance for the ratio term. While the ratio term can potentially cause very high or low damage, the linear terms ensure that the damage remains within a reasonable range.
5 Likes

Using the formula… Here is a chart for complete space constructed in same format as the very original post, for various attack (600-15,000) and defense (600-3000) numbers and respective damage…
Hope one can see, that fitting a single curve done by original author, while seems reasonable (and even effective to some extent), doesn’t cover the entire space

6 Likes

Anyone know whose defense is used to calculate damage received in Musketeer’s Cover? Is it the defense of the hero protected by Cover or the defense of the hero providing Cover?