Minimum units sent to wipe out DEFENDER's

[Cataphract]

It's quite easy once you know how to do it.
In the past all of us seems to have troubles with rally spot exercise, its numbers are mostly incorrect to most sittuation.I have found a new caculation, didn't quite test it much, but i know it's right at least 90%.

Here we go: x(attack point) x'(enemy attack point)
y(defend point) y'(enemy defend point)
z(life point) z'(enemy life point)
w(range point) w'(enemy range point)
u(speed point if have) u'(enemy speed point if have)

For example, i want to take down 2000 archer towers and use only archers, how many should i send at least?(note: this is just for example, due to the tech the numbers can change)

Aur archers:x=150, y=50,z=300, w=1200, u=200
B:Archer towers:x'=300,y'=300,z'=2000,w'=2000,u'=1(because it doesn't move)

we can see that x'>x>2 times,y'>y>6 times,z'>z>6.666,w'>w>1.666,u>u'>200 times(no execption, if it's like that leave it like that)

Andx'+y'>x+y>3 times(1)|x'+y'+z'>x+y+z>5.2 times(2)|x'+y'+z'+w'>x+y+z+w>2.706 times(3)|||If the defender doesn't have speed point we don't plus them to defenders but plus to the attacker|x'+y'+z'+w'>x+y+z+w+u>2.421 times(4)


Now, generally: (1)+(2)+(3)+(4)/4=3.33175 times, which means we generally should send:archers=2000AT*3.33175=6663.5 archers=6664 archers(0)|||now, judging from other elements:
2000ATx=2000*2=4000archers(1)|||2000ATy=2000*6=120 00archers(2)|||2000ATz=2000*6.666=13332(3)
|||2000ATw=2000*1.666=3332(4)|||2000ATu=2000 divide 200=10(5)
now, the least archers we should send =(0)+(1)+(2)+(3)+(4)+(5)/5=7867.6 archers which means we have to send at least 8000 archers to take down 2000ATNote: if the x>x', we divide.

If we facing with more than 1 type of unit, or mutil units's battle, we compare 2types of them, the range unit and the infantry unit, range calculate with range, infantry with infantry, then plus the calculated numbers of each unit that the unit we used to compare with them together, you'll have the min amount of them must be sent to win, not to have no lost


This is not included hero's buff, this is used for heros with ATK over 50.there you have it, you can ask me anything, i'll answer as soon as i can And if anyone can prove my caculations are wrong or right i'll be gladful

[OPTiiMUM]

This is interesting, i may try some tests...

[Lord Arumen]

Please make it more readable. Thanks, looks good.

[Cataphract]

sorry, it's hard to make it more readable because when i posted it up, it had been rearranged somehow

[scorch]

This looks very doable, but I think you misplaced a decimal on that number in the middle there.

Also, I think the simplified answer should be 42.

[Cataphract]

nope, i didn't missplaced it, i just leave it like that, that's fine, i used this calculation for hero with normal atk skill, the higher the skill the better chance you lose less troops.So just in case, 50 would be nice enough

[va023]

lol scorch. .42?

yes, i know what that is . . .

[dnst3]

haha 42! yes it works!