Who is the best ballista operator?
https://www.youtube.com/watch?v=S0j8jotWN2cI received a question: who will be better up to level 13?
Let's figure it out. The chance of getting an attack or knowledge bonus for a demon is 45% + 30% = 75%, and for a knight, it's 30% + 15% = 45%. So, roughly speaking, at level 5, Deleb (let's say we got 4 levels) gives us 3 stats (affecting the ballista) plus 4 stats from the start. In total, 3 + 4 = 7 stats, or 7*5 = 35 (damage on expert ballistas) + 20 damage from the projectile per shot. For Vitto, we'll get an average of 2 stats by level 5 + 2 stats from the start. In total, 2 + 2 = 4 stats, or 4*5 = 20 damage.
Let's calculate the damage against creatures with different amounts of defense. Thanks to Vitto's special ability, we have 20 attack against 15 defense, which is a difference of 5 defense, and a coefficient of 1.25. Let's calculate the total damage: 20*1.25 = 25 damage. So, we have 35 + 20 (from the projectile) = 55 damage per shot for Deleb (there is no difference in attack and defense).
For creatures with 0 defense, the difference between the target's defense and our attack is 15 due to the expert ballistas, which means the damage increase coefficient is 1.75. Therefore, Deleb's damage is 35*1.75 + 20 (from the projectile) = 81.25. The damage increase coefficient is 2 (a difference of 20 stats, 15 from the ballistas and 5 from Vitto's special ability). The total damage is 20*2 = 40.
For creatures with 30 defense, the difference in stats is 10, which means the coefficient will be 0.(6) repeating, i.e., an infinite number of sixes. Vitto will deal 20*0.6666... = 13.2. The damage increase coefficient for Deleb is 0.571428... 35*0.571428... + 20 (from the projectile) = 40 damage.
Results at level 5: Deleb wins against Vitto in terms of regular damage, plus at level 5, we get a fire attack for 20 damage.
I think the principle is clear. The next calculations will be shorter, as you know what's what:
At level 8, Deleb has 4 starting stats + 5 from levels. Our damage is 9*5 = 45 + 20 (projectile) = 65 damage (creatures with 15 defense). Next, 45*1.75 = 78.75 + 20 (projectile) = 98.75 damage (0 defense) and 45*0.571428... = 25.71 + 20 (projectile) = 45.71 (creatures with 30 defense). Vitto has 2 starting stats + 3 from levels. Our damage is 5*5 = 25. At level 8, we get fire arrows with shooting, and this affects the ballista. The total damage is 25*1.2 (shooting) * 1.8 (fire arrows reduce defense to a greater extent, leaving 7 defense, i.e., a difference of 16 stats) = 54 damage + 50 (fire arrows) (creatures with 15 defense). Next, 25*2.15 (difference of 23 stats)*1.2 + 50 (fire arrows) = 114.5 (creatures with 0 defense) and 25*1.4 (difference of 8 stats) *1.2 + 50 (fire arrows) = 92 (creatures with 30 defense).
Results: As we can see, by level 8, thanks to shooting and fire arrows, Vitto surpasses Deleb, but it's not a fact that the stats will increase statistically as the level increases, so there may be different scenarios.
atlant108
