Level 9 walls + Level 10 archery have a 2535 range*. Ballistas and archers with Level 10 archery have a 2100 and 1800 range respectively.
Assuming a field 5000 units long and max speed/range with the gate closed:
..................Move......Range......Turns to AT Range.......Turns to Attack Fortifications
Scouts............6000......20.........1.......... ............1**
Workers...........360.......10.........7.......... ............14
Warriors..........400.......20.........7.......... ............13
Swordsmen.........550.......30.........5.......... ............10
Pikemen...........600.......50.........5.......... ............9
Archers...........500.......1800.......5.......... ............7
Cataphract........1125......80.........3.......... ............5
Cavalry...........1500......100........2.......... ............4
Battering Ram.....180.......600........14................... ..26
Ballista..........150.......2100.......17......... ............20
Catapult..........120.......2250.......21......... ............23
*I believe walls raise the range by 5% for each level.
**Do they allow scouts to attack fortifications/wall? I read somewhere due to people scout spamming they changed scouts attack I haven't done it so I don't know if they did or not.
***I don't know why the spaces are in between the periods (if they are there. They are in the post preview).
Writing for me is difficult. I often over think and write in ways where people become confused. If only I could write as well as I can look at data and draw conclusions from the data.
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