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Ballista Vs Archer Towers

(1 * .5 * X * .64) / 2000 * 99 

X= This is where you put your Total Attack power so that is (100% base which for a ballista is 450 and 5% per military tradition level) so say you have level 5 Military Tradition that would be 450*1.25 = 562.5 or 562(round down just to be safe)

1 * .5 * 562 * .64 = 179.84

then

179.84 / 2000 = .08992

then

.08992 * 99 = 8.90208

and finally take that number and divide it into the number of towers your attacking

2000 / 8.90208 = 225(ballista's needed to defeat towers)

Because as long as you follow the range chart below 1 ballista can take out 8.90208 or just 8 to be safe Archer towers in 99 rounds of combat IF THEY ARE OUT OF RANGE OF THE TOWERS or if they are not the primary target, if not then you need to add Higher priority targets (closer range) for the towers to attack while the ballistas kill so for 2k towers say his range is just a little higher than yours if you send 10k archers the towers will have to take them out before the ballista's and you'll loose close to half the arch's but win with 0 ballista casualty's (in regards to the comment, what about the "other defenses"?  Ballista's out range all accept catapults & Defensive Trebuchet's so they kill all other defenses that need to be killed such as troops with ease. If the person your attacking has catapults & Trebuchet's you should not be attacking with ballista's simple as that.)

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