a breakthrough computer game Civilization XIII striking scale elaborate detail Lets close look themthe play area game split congruent cell regular hexagon the cell equal 1 each unit occupy exactly cell playing field the field consider infinite Lets look battle unit call Archer each archer parameter shoot range its positive integer determine radius circle archer hit target the center circle coincide center cell archer stay a cell consider archer fire point cell include border point locate inside circle borderThe picture show border shoot range equal 3 4 5 the archer depict a Find number cell fire archer