Which castle can’t be taken by a Necropolis on day 111?

I completely agree with (RiMpel2). Here's the troop distribution for each faction:

Castle
10-20 + 10-20 + 14 = 34-54 spearmen
0 + 4-7 + 9 = 13-16 archers

Rampart
12-24 + 12-24 + 14 = 38-62 centaurs
0 + 3-5 + 8 = 11-13 dwarves

Tower
30-40 + 30-40 + 16 = 76-96 gremlins
0 + 3-5 + 9 = 12-14 gargoyles

Inferno
15-25 + 15-25 + 15 = 45-65 imps
0 + 4-7 + 8 = 12-15 horrors

Necropolis
20-30 + 20-30 + 12 = 52-72 skeletons
0 + 4-6 + 8 = 12-14 zombies

Dungeon
30-40 + 30-40 + 14 = 74-94 troglodytes
0 + 4-6 + 8 = 12-14 harpies

Barbarian
15-25 + 15-25 + 15 = 45-65 orcs
0 + 5-7 + 9 = 14-16 wolves

Swamp
10-20 + 10-20 + 12 = 32-52 gnolls
0 + 4-7 + 9 = 13-16 lizardmen

Fortress
15-25 + 15-25 + 20 = 50-70 sprites
0 + 3-5 + 6 = 9-11 air elementals

This is the most accurate solution.