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Star Seeker - The maths behind the 3000 energons
jimbobthedog
Posts: 22
I just spent around 3000 energons to max out the Mastery : Starseeker
For those who don't know, here is the description:
Unfortunately the damage output isn' t really at the rendez vous. So I decided to do the maths.
Basically it means that if you are at 100 hit combo you do +80% damage every hit
From 1 to 100 hit combo it grows exponentially
I arrived to thoses maths:
Which mean
10th hit combo = +1.54% damage
20th hit combo = +2.40% damage
30th hit combo = +3.72% damage
40th hit combo = +5.77% damage
50th hit combo = +8.94% damage
60th hit combo = +13.8% damage
70th hit combo = +21.4% damage
80th hit combo = +33.3% damage
90th hit combo = +51.6% damage
100th hit combo = +80% damage
So exponentially in the description really means "yea not cool for us"
But there is a little thing that is cool, is that the extra damage is applied every hit:
If you did 10 hits you did: +12% damage of your base damage
If you did 20 hits you did: +32% damage of your base damage
If you did 30 hits you did: +63% damage of your base damage
If you did 40 hits you did: +111% damage of your base damage
If you did 50 hits you did: +185% damage of your base damage
If you did 60 hits you did: +300% damage of your base damage
If you did 70 hits you did: +477% damage of your base damage
If you did 80 hits you did: +753% damage of your base damage
If you did 90 hits you did: +1180% damage of your base damage
If you did 100 hits you did: +1824% damage of your base damage
REMINDER: +100% damage = you did only ONE extra hit
It means that if you did a 40 hit combo == you have done the damage of 41 hit combo
Good news is if you did a 100 hit combo == you have done the damage of a 118 hit combo
Conclusion:
Don't get blinded by +80% like I did, unless you are super rich in Energon DONT take that.
Personally I feel like I lost all my energon on ONE extra hit per fight
For those who don't know, here is the description:
The Attack Rating of your Bots increases exponentially based on their current Combo Meter count, up to a maximum of +80% after 100hits (Rank5)
Unfortunately the damage output isn' t really at the rendez vous. So I decided to do the maths.
Basically it means that if you are at 100 hit combo you do +80% damage every hit
From 1 to 100 hit combo it grows exponentially
I arrived to thoses maths:
Which mean
10th hit combo = +1.54% damage
20th hit combo = +2.40% damage
30th hit combo = +3.72% damage
40th hit combo = +5.77% damage
50th hit combo = +8.94% damage
60th hit combo = +13.8% damage
70th hit combo = +21.4% damage
80th hit combo = +33.3% damage
90th hit combo = +51.6% damage
100th hit combo = +80% damage
So exponentially in the description really means "yea not cool for us"
But there is a little thing that is cool, is that the extra damage is applied every hit:
If you did 10 hits you did: +12% damage of your base damage
If you did 20 hits you did: +32% damage of your base damage
If you did 30 hits you did: +63% damage of your base damage
If you did 40 hits you did: +111% damage of your base damage
If you did 50 hits you did: +185% damage of your base damage
If you did 60 hits you did: +300% damage of your base damage
If you did 70 hits you did: +477% damage of your base damage
If you did 80 hits you did: +753% damage of your base damage
If you did 90 hits you did: +1180% damage of your base damage
If you did 100 hits you did: +1824% damage of your base damage
REMINDER: +100% damage = you did only ONE extra hit
It means that if you did a 40 hit combo == you have done the damage of 41 hit combo
Good news is if you did a 100 hit combo == you have done the damage of a 118 hit combo
Conclusion:
Don't get blinded by +80% like I did, unless you are super rich in Energon DONT take that.
Personally I feel like I lost all my energon on ONE extra hit per fight
Tagged:
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Comments
By 40 hits you will have done a combined total damage of roughly 82 hits...
I understand that, I get it.. just odd the way it is worded
With Star Seeker 5/5
Here is the extra damage you get in %
10 hit combo = +1.2%
20 hit combo = +1.6%
30 hit combo = +2.1%
40 hit combo = +2.7%
50 hit combo = +3.7%
60 hit combo = +5%
70 hit combo = +6.8%
80 hit combo = +9.4%
90 hit combo = +13.1%
100 hit combo = +18.2%
TBH - im not sure its worth putting even 1 point into it unless you are REALLY great at getting combos greater than 60 in most fights. Im considering redoing my Masteries and just ignoring this thing altogether.
Translating a lot of what he's saying above, this would be your real world impact with 5/5 mastery:
50 hit combo ~ 52 hits...
60 hit combo = 63 hits....
70 hit combo ~ 75 hits...
80 hit combo ~ 88 hits...
90 hit combo ~ 102 hits...
100 hit combo ~ 118 hits
Correct me if I converted any of that wrong
I assumed you integrated the exponential growth equation? Since you didn't explain what you did, I'm going to walk through the steps as I'd do them, because my results are slighly more generous than yours.
As a reminder for anyone following along, the exponential growth eqn is: Y = A(1+r)^x
where Y is the final value (in this case, 1.8)
A is the initial value (in this case, 1)
r is the growth rate (Kabam hasn't told us), and
x is the number of periods (in this case, 100)
so we can solve for r, and it's about 0.0059, or almost 0.6% (I used a much more precise figure in the table)
You can then put that in to the formula and solve for Y at any X. Since A=1, that drops away and we've got:
Y = 1.0059^x, and that will tell you the damage you land at each blow, where x is your combo metre.
You can then integrate it to find the cumulative damage you're causing.
To find a definite integral of an exponential in the form Y=A^X [1, X] (where 1 & X are the limits of the integral, and X<100), the formula is just Z = r^X - A (where Z is cumulative bonus damage, and X is whatever combo you're interested in NB "-A" is not part of the exponent)
Because A=1, that becomes Z = r^X - 1 [NB again, not: r^(X-1)]
You could do it in R or Mathlab if you have access to that, but it's most convenient to just put it in excel, because then you can see the results for every combo count in a single table, like this:
I admit I get lost in your conclusion, but you seem to be saying that at the 10th hit, you've effectively achieved 10.12 hits. Where's I'm saying that should be 10.27.
Similarly, by
20 you're saying: 20.32, but mine is 21.17
30 you're saying: 30.63, but mine is 32.73
40 you're saying: 41.11, but mine is 45
50 you're saying: 51.84, but mine is 58.01
60 you're saying: 63, but mine is 71.82
70 you're saying: 74.77, but mine is 86.48
80 you're saying: 87.53, but mine is 102.02
90 you're saying: 101.80, but mine is 118.51
100 you're saying: 118.24, but mine is 136.01
I don't suppose you can find the discrepancy? Since you didn't share your working I can't be sure which of us is correct
This is what it looks like when I chart it with a final damage rate of 1.8:
And this is what it looks like when I chart it with a final damage rate of 80:
You can see the second one looks very similar to yours. I think this is what you did, and I don't think it was correct
Actually they're both exponential, but one is a much more gradual curve. It's like taking a very small slice off a circle - in fact, it mimics the flat earth debate quite well. It appears linear because it's zoomed in a lot more than the second one.
@Totherkins not sure what you mean by plug and play. Do you think +60% damage by streak 80 is an over estimate?