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prettycottonmouthlamia · 2 months

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My Thoughts on Santalla

lul bad just use Eyja instead

Are they gone? Did I bait them into trying to find the upvote button on tumblr? Good good.

Now I'm going to do a lot of work arguing Santalla from a position of general good faith and wanting to encourage others to experiment with her. That cannot be done without acknowledging that her class, the Splash or AoE Caster, is one of the worst in the entire game. They have very high DP costs, limited range, and pretty low attack speed. This results in a pretty poor DPS even for a class that's meant to manage crowds of enemies. I'm sure we can all post funny numbers about how Eyja does like 8 billion damage. Let's push past that for now. Splash Casters still have their perks. Santalla HP: 1,640 (+155 from Module) ATK: 770 (+90 from Trust) (+32 from Potential 4) (+70 from Module) DEF: 123 RES: 20 Redeployment Time: 70 seconds (-4 sec from Potential 3) DP Cost: 33 (-1 from Potentials 2 and 6) (-8 from Module) Attack Interval: 2.9 seconds Talent: After being deployed for 20 seconds, this unit gains ATK +15% and Status Resistance (+3% ATK from Potential 5) (-5 seconds and +5% ATK from Module)

Let's start with a discussion of the basics. The stats. While not super notable, she is the bulkiest of the 5-star Splash Casters, having better HP and DEF than all of them. She's a little less bulky than either Mostima or Dusk (and considerably less if its Module X Dusk, which it won't be), but this isn't a tanking class so its not a major deal.

Her offense is the key part of the show here. Her ATK with just her trust bonus is 860, which doesn't stack well against Lava's 888, Leonhardt's 863, or Skyfire's 874. Mostima's 939 and Dusk's 1,028 ATK seem to have pigeonholed Santalla into a bulky, unoffensive position.

Santalla's talent is an incredible saving grace here. It's easy to activate and will always be active when her skill is up, and the resulting 15% ATK boost puts her effective ATK at 989, making her more comparable with the 6-stars. The key here, when compared with Leonhardt's, Skyfire's, or Dusk's talents is the general ease of this talent. 20 seconds sounds like a lot, but at Mastery Level 3, her S2 has a 20 second charge time on deployment, so its downtime that's already covered.

If you were to push Santalla to her peak performance, here is how her ATK would compare to the others:

Santalla: 1,183 Lava the Purgatory: 950 Leonhardt: 1,013 (He will always have one stack of his talent due to how video games work: with 8 enemies in range his ATK is 1,351) Skyfire: 977 Mostima: 1,055 Dusk Module Y: 1,144 (Potential max of 1,556 with 18 kills) Dusk Module X: 1,142 (Potential max of 1,690 with 24 kills)

Truthfully, the raw attack stat isn't the most relevant thing on the block. But it does give a decent indicator of what exactly Santalla is working with, and the fact that she can hang with the 6-stars while off-skill is genuinely really impressive, although Leonhardt is probably a little bit better than her at that.

Also worth noting that she gets Status Resistance from her talent. This is cool. Not like, the most insane thing in the world but getting less owned by status occasionally comes up.

From this point forward, I will be discussing what I consider Santalla's base (Max Level and 100% Trust) and near max power (all the goodies, except for potential BUT you get whipped cream to use as you like), and that her talent is always active. This is to give players who maybe are a bit worried about investing her module some idea of how much it impacts her. For the latter, keep in your head that her ATK with her talent up is 1,116.

Her base DPS, assuming she is attacking an enemy with 0 RES, is 341 damage per second. With her module, this increases to 384.

Skill 1

I'm not going to go over this one in detail. No one is wowed by Swift Strike gamma. But to go over what it does to her DPS briefly: +45 ASPD is enough to reduce her attack interval to 2 seconds flat. At base, Santalla's ATK will go up to 1,376, giving her a DPS of 688, about a 102% increase. With her module, she will have an ATK of 1,534, resulting in a DPS of 767, or a 100% increase.

This makes sense. Since Santalla's talent already gives her a decent ATK buff, the improved ATK buff from her module will create a little bit more diminishing returns, and on the whole, the DPS increase is than the expected amount at 210%. On a whole, if you raise this all the way up, Santalla does double damage over 35 seconds. Probably not jumping out of your seats on that one.

Skill 2

Oh boy, this skill. This skill has a lot to cover, let's start with the description.

[Attack Range expands, Attack Interval shortens massively, and attacks now summon icicles over random areas within range. When the icicles fall, all enemies in the area are inflicted with Cold for 1 seconds and dealt 90% of Santalla's ATK as Arts damage.]

Going over it in detail: -Santalla's range expands to include the 4th row, identical to Marksmen snipers -Her attack interval is reduced by 2.4 seconds, all the way down to 0.5 seconds. This means she will attack twice a second, getting in 30 attacks over her skill duration. -Randomly is both correct and not correct. It's time to bring in diagrams.

Icicle falling is semi-random. One icicle will fall in column B (the left column), followed by an icicle in column D (the right column), and finally by an icicle in column C (the middle column). Using the diagram as a metric, you can consider it like this:

Random(B1, B2, B3, B4) THEN Random (D1, D2, D3, D4) THEN Random (C1, C2, C3, C4). (Yes, she can target her own square, this is a reminder to always double check your thinking lol) -Her icicles explode with a radius of 1.5 tiles. To explain what this looks like:

Here is an Attack on "C2". Fortunately, Santalla's effects make it really easy to visually confirm this. Even as she is slaughtering Originium Slugs.

-Cold for 1 second might initially give the impression that Santalla needs to chain together back to back hits with her skill in order to inflict and sustain freeze. This isn't true: she does however need to score a hit within the next two hits.

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I would watch the first six seconds or so on 0.5x speed and count. Santalla is allowed to miss one of her hits and still keep her cold and freeze going. This is going to be really important once we talk about how her probabilities work.

-Each attack will deals damage equal to 90% of Santalla's ATK. This is a modifier applied after her attack buff from her talent, but BEFORE Res is applied. We'll be talking about her damage primarily in 0 RES situations, but this will be important later on for an example. For now, at base, Santalla's icicles will do 890 damage, and with her module they will do 1,004 damage. This is an 11.1% decrease in damage.

With all of that out of the way, phew, let's talk about the skill as a whole. This is a crowd control skill that looks to freeze enemies with multiple icicle hits. This is a pretty nice idea actually. Freeze is a really powerful source of crowd control and an enemy could theoretically be pinned down for the entire 15 second duration. Critically also, being Frozen reduces enemy RES by 15, giving Santalla some sneaky extra damage. This naturally relies on quite a bit of luck though, and enemy position is really, really important.

In particular, you might have been clever and noticed a connection between her attack pattern and how many hits she needs to land to Freeze an enemy and sustain the Frozen condition. The initial hit needs to land, and then one of the two next hits also needs to land. This means that, for any given enemy in her attack range, they need to be hit by an icicle from a different column in order to be frozen.

This also plays very weirdly with enemies outside of her attack range. Since the icicles have an explosion range of 1.5 tiles, she can hit enemies outside of her attack range, but whether she can freeze them or not is actually dependent on where exactly they are outside of her attack frame.

Geometry is fucking sick y'all.

Due to the rules of how this works, Santalla cannot actually freeze enemies outside of her attack range if they are on either side of her attack range. The only icicles that can hit those areas are all from the same column, so it's not viable. Only at the very front and directly behind her attack range are viable options, and its pretty specific both in location and which icicles have to fall. But it is technically possible.

Since we know the rules and can properly map out how each icicle will impact the map, we can do something really interesting: we can calculate a general probability as a guideline for how likely an enemy is to be frozen when in any specific tile. Do note for this I am assuming the enemy is in the center of the tile and not moving. This is a guideline, I am not smart enough to brain out every possible solution and factoring in movement is about my brain grade.

We can discount the middle tile of icicles because those won't factor in here. Assuming out helpful little enemy in C3 was hit, what are the chances that Santalla will freeze him with her next two attacks? Well the left column and the right column have three viable options out of four, so this is pretty simple to figure out. We only need one to hit, so we can include all solutions that include a positive left and right hit (56.25%), all solutions that include a positive left and negative right (18.75%), and vice versa (18.75%). The only solutions left are two negative hits (6.25%) which is out failure rate, giving us a success rate of: 93.75%!

(This is assuming all squares are weighted equally.)

Since the spread is symmetrical, we only have to test for 8 different locations. B1 and D1 are essentially the same but flipped after all.

B1/D1: Only hits in C1 and C2 are positive. This gives us a 50% chance. B2/D2: C1, C2, and C3 are positive. 75% chance. B3/B4: C2, C3, and C4 are positive. 75% chance. B4/D4: C3 and C4 are positive. 50% chance. C1: B1, B2, D1, and D2 are positive. 75% chance. C2: B1, B2, B3, D1, D2, and D3 are positive. 93.75% chance. C3: B2, B3, B4, D2, D3, and D4 are positive. 93.75% chance. C4: B3, B4, D3, and D4 are positive. 75% chance.

The cool thing about rectangles is they are symmetric both ways, which makes the actual math part of this a lot easier. In general:

The closer to the center of the attack range an enemy is, the more likely they will be frozen and remain frozen.

There's one little quirk though I forgot to mention. While icicles will fall randomly in her attack range, they will not fall in squares that are considered out of bounds such as squares occupied by a wall. I mean come on, there couldn't be a map that could be abused with, could there?

Let's say we are sick and tired of that bastard Sarkaz Guerilla Fighter, and he's parked in the center of the first row, and we park Santalla right below him.

Suddenly the top two rows are out of bounds, so when Santalla uses her skill, she will only attack six squares. What happens to the poor Sarkaz Guerilla Fighter who is sitting in C2?

Well C2's positive hits are B1, B2, D1, and D2. Those are the only squares Santalla can hit. So Santalla will perma-freeze the Sarkaz Guerilla Fighter and hit him with all 30 of her attacks of her skill!

(2 * (Damage * 0.5)) + (28 * (Damage *0.65)) is the formula that will tell us how much damage the fighter will take.

At base, the Sarkaz Guerilla Fighter will take: 17,074 damage. With module, the Sarkaz Guerilla Fighter will take: 19,288 damage.

We did it gang. We killed the 10,000 HP Sarkaz Guerilla Fighter because this stage gives him a hidden HP buff. Santalla is the greatest.

Well...no. Even if you can guarantee all 30 hits will lands on an enemy with 0 RES, your total skill damage comes out to 26,700 and 30,120 damage respectively. It is a genuinely pretty impressive DPS, sitting at 1,780 and 2008 respectively, but this requires not only good positioning but also very intentional knowledge of the map. There will be maps where it is simply impossible for Santalla to do this.

You might be wondering what the chances of an enemy in tiles C2 or C3 are of getting hit with all 30 attacks from Santalla's skill. Fortunately, that's very easy. We take the success rate on any attack (75%) and multiply it by itself the number of times we need. 0.75 ^ 30. That can't be that bad right?

0.018%. It's pretty low. Comparatively, you might ask, what are the chances a corner tile enemy is never hit? Well we thankfully can avoid all right-side hits, as those will never hit an enemy on the left side. 10 are automatic misses. The remaining 20 are 50/50s. 0.5 ^ 20.

0.000095%. So okay, to be entirely fair, its really unlikely you will just never hit an enemy. Santalla will generally do _some_ damage and inflict Cold. If you can deploy blockers to keep enemies from leaving her attack range, chances are she's going to do decent work.

The big problem with this skill, the reason I made all the graphics and did the probabilities and what not, is that Santalla is inconsistent. Unless you're smart and use her wisely, there's a good chance that she can not perform to what you need her to do. Figuring how much of an impact she'll have on average is frankly a level of math I'm not qualified to do, but you have to construct her greatest scenarios deliberately. She's not quite plug and play.

Conclusions

There's probably an argument that whatever you want Santalla to do, Gnosis can do better. That's likely true. He's way more consistent at locking down large crowds of enemies with freeze and maintains a pretty good sum of damage on them too. But I think Santalla is the kind of operator who while inconsistent, is going to be fun to optimize and make work. Getting Santalla to work is rather rewarding thanks to the combination of her good DPS and a powerful 14.5 second permafreeze. But you won't always be able to make that happen, and I think planning around her inconsistency will also be an important part in managing her viability.

I think its actually a really good idea to pair her with Gnosis. The massive Fragile debuff Gnosis provides happens at the very end of the damage calculation, which is quite impactful. Santalla can be comboed with other strong crowd control operators too, such as Magallan (lesbians for life), and Saria.

Plus I'm sure if you do the dumbshit buffing set-ups she can take out Patriot. Chop chop. Make it happen.

#arknights #santalla #if you ask why this is so long fuck you i figured out how to make good looking diagrams for arknights shit i deserve this

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