Battleship

Solving Battleships with SAT

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cnf.comment('no overlapping ships')
for i,ship1 in enumerate(all_ships):
    points1 = set(just_ship(*ship1))
    water1 = just_water(points1)
    occupied1 = points1 | water1
    for ship2 in all_ships[i:]:
        if ship1[0] == ship2[0]:
            continue
        points2 = set(just_ship(*ship2))
        if occupied1 & points2:
            cnf.write_one(-f(*ship1), -f(*ship2))
        # (points1 & water2) would be redundant
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