Fists of Fury: Attack Speed and Damage

Following on the heels of the attack range article, LINE Rangers台灣社團 members have created more great reference tables on attack speed to aid us in ranger comparisons. We have had this discussion before when we explored the Attack Speed & DPS differences and the treasure effects of Castle in the Sky. If you followed me through those posts, the math below will look familiar. The text below is a translated interpretation of the article, Attack Speed Measured: 40 Team Members.

    
    The article comes from: LINE Rangers台灣社團
    Authors: 小為, 楊濟安
    Revision: 小為
    Testing Team: 黃郁弘，楊濟安，小為，鈺

Contained within the box below is their article interpreted in English. 

The team at LINE Rangers台灣社團 worked to get the exact damage numbers for each ranger and was able to calculate the precise attack speed. If numbers are not your thing, then check out the link to the article for a pictorial representation of the rangers' attack speed. (From left to right, the ranger attack speed goes from slower to faster.) For more detail, read on.

Note: All data below are based on max level rangers and stats as of June 11, 2014.

  Column 1 is the ranger profile listed DPS in game

  Column 2 is the actual DPS once you account for the treasure bonus (Column 1 * 1.454546)

  Column 3 is the actual damage dealt to enemy tower in battle in a single hit

  Column 4 is calculated attack speed, explained below

  Column 5 is the ranger profile listed attack speed

Attack Speed Calculation

To explain how these numbers came about, let's take the example of Masked Moon:

  - Take Masked Moon to an enemy tower and recorded that one hit against the enemy tower produced 162,305 damage. 

  - Masked Moon's listed base damage in his profile (which is his DPS, damage-per-second) is 51,500.

  - Take into account the 45% increase in damage benefit from Castle in the Sky's treasure, which multiples base DPS by 1.454546. His actual DPS is 74,909. 

  ⇨Since we know his one-hit damage is 162,305, then we simply divide: 162305/74909 = Every 2.16 seconds, Masked Moon hits one time. This is the number we achieve in Column 4.

The authors comes to the same conclusion as I did: faster attack speed rangers are a bit more advantageous. The reasoning is as follows: Suppose you had 2 rangers' whose DPS is 100,000. The first one attacks once per 1 second, the other attacks once every 4 seconds. If both were attacking an enemy with only 50,000 HP left, the first ranger would kill it after one second and only waste 50,000 damage. The second ranger would hit it after 4 seconds, cause 400,000 damage but waste 350,000 damage. 

Damage Per Minute

Taking our understanding of DPS a step further, the authors have created a table which displays the accumulation of damage by a ranger over the span of one minute. Bear with us, all will be explained.

  Column 1 is the ranger profile listed DPS in game

  Column 2 is the actual DPS once you account for the treasure bonus (Column 1 * 1.454546)

  Column 3 is the latest cooldown for each ranger, in seconds. Cooldown is the time that must pass before you may deploy another ranger.

  Column 4 is the total number of seconds of damage that can be inflicted per minute. To illustrate, let's take KSM as an example. You can deploy KSM once every 15 seconds. 

     First deployed KSM may attack for a full 60 seconds

     The second deployed KSM may attack for 45 seconds

     The third deployed KSM may attack for 30 seconds

     The fourth deployed KSM may attack for 15 seconds

     ⇨60s + 45s + 30s + 15s = 150 seconds

  Column 5 is total accumulated damage per minute: Column 2*Column 4. For KSM, that's 188,363*150=28,254,450 damage.

  Column 6 is the total cost to deploy possible units per minute. 4 KSMs amounts to 890*4 = 3560 mineral

The objective of these tables is to show us the rangers with the highest continuous damage accumulation. It is now quite obvious that Dumpy wins in this category, inflicting 228.9 million damage per minute. 

To give you an idea of what 228.9 million damage can do, consider this. Stage 108's enemy tower has 15 million HP. In 60 seconds, Dumpys can destroy about 15 of those towers -- assuming that there is no travel time from the point of deployment to the target. 

The reigning splash damage accumulation goes to KSM (28.2 million per minute), followed by Abdula (21.3 million), then Ola Brown (18.2 million). Sorcerer Cony is fourth on this list! 

What's the point of the last column? If mineral regeneration is about 200 mineral per second, then you can generate roughly 12,000 minerals -- take into account some extra, because you recover some minerals every time an enemy unit is killed -- and you can use the last column data to pick out the appropriate team for your needs. 

Deep Breath!

That's a lot of numbers! I found the information contained within the attack speed tables (particularly the actual DPS column) to be really nice. And the amount of time necessary to record the damage per actual hit must have been tremendous. 

The damage done per minute is a really interesting way to apply the DPS concept for a bigger picture. Take it with a grain of salt, because in reality there's no way for short-range rangers to spawn and immediately begin attacking, and most of us won't be able to deploy rangers as soon as they come off cooldown with 100% precision. But the damage per minute exercise gives us some insight into how DPS and cooldown can play into amount of total damage we can be dealing. This is the first and only place I've ever seen this abstracted.

P.S. Why is does attack speed article contain 40 rangers while attack range only 39 rangers? Red Brown was added as a consideration for the attack speed article.