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First solution in Clear category for Fortress Cannons by tom-tom
from itertools import product
def fortress_cannons(fort, cannons, enemies):
DIRECTION = 'N', 'NE', 'SE', 'S', 'SW', 'NW'
IN_WEDGE = {0: lambda x, y, z: x == 0 and y > 0,
60: lambda x, y, z: y >= x >= z,
120: lambda x, y, z: y >= 0 and z <= 0}
def cube(pos):
"""Cube coordinates"""
x = ord(pos[0]) - ord('A')
z = int(pos[1]) - x // 2
return x, - x - z, z
fort = cube(fort)
# enemy cube coordinates relative to the fort
enemies = [tuple(i - j for i, j in zip(cube(enemy), fort)) for enemy in enemies]
all_enemies = set(range(len(enemies)))
def can_shoot(cannon, enemy):
angle, min_distance, max_distance = cannon
return min_distance <= max(map(abs, enemy)) <= max_distance and IN_WEDGE[angle](*enemy)
# enemies shot by each cannon in each direction
reach = [{} for _ in cannons]
for direction in DIRECTION:
for n, cannon in enumerate(cannons):
reach[n][direction] = {i for i, enemy in enumerate(enemies) if can_shoot(cannon, enemy)}
# rotate enemies around the fort
enemies = [(-y, -z, -x) for x, y, z in enemies]
for directions in product(DIRECTION, repeat=len(cannons)):
if set().union(*(reach[n][direction] for n, direction in enumerate(directions))) == all_enemies:
return list(directions)
if __name__ == '__main__':
assert fortress_cannons('F5', [(0, 1, 4)], {'F2'}) == ['N'], '0 degree'
assert fortress_cannons('F5', [(60, 1, 6)], {'K4'}) == ['NE'], '60 degree'
assert fortress_cannons('F5', [(120, 1, 4)],{'B3', 'E8'}) == ['SW'], '120 degree'
assert fortress_cannons('F5', [(0, 2, 6), (120, 1, 3), (60, 1, 4)], {'L2', 'D3', 'C6', 'E9'}) == ['NE', 'NW', 'S'], '3 cannons'
assert fortress_cannons('F5', [(0, 1, 6), (120, 2, 3)], {'A3', 'E6', 'G7'}) is None, 'None'
print("Coding complete? Click 'Check' to earn cool rewards!")
April 23, 2019
