crawl 0.20 pacify formula

DiceSides = (10 + Power + 2d(10+Power) - 2) * (Invo+1) * modifier
Healing = 1dDiceSides - 1.

Modifier is: 1/2 for holy, 1/4 for undead, 1/5 for demons, 1/3 for other stuff. Triple if monster is below human int.
Monsters that are not holies, undead, demons, or natural, cannot be pacified. (e.g. golems, orb of fire)

Power is Invocations/3, randomly rounded up Invocations%3 * 33% of the time.

Invo is Invocations skill.

If the maximum possible DiceSides is below the monster's max HP, it is "unfazed".
If Healing is greater than or equal to the monster's max HP, the monster is pacified.
If Healing * 23/20 is below the monster's max HP, "the light of Elyvilon fails to reach X".
Otherwise, "The light of Elyvilon almost touches upon X".

Invo    DiceSides (pre-mod)    Expected  Min   Max
0       (10 + 2d10 - 2) * 1    19        10    28
3       (11 + 2d11 - 2) * 4    84        40    124
6       (12 + 2d12 - 2) * 7    168       70    238
9       (13 + 2d13 - 2) * 10   250       100   370
12      (14 + 2d14 - 2) * 13   351       130   520
15      (15 + 2d15 - 2) * 16   464       160   688
18      (16 + 2d16 - 2) * 19   589       190   874
21      (17 + 2d17 - 2) * 22   726       220   1078
24      (18 + 2d18 - 2) * 25   875       250   1300
27      (19 + 2d19 - 2) * 28   1036      280   1540