from random import randint
class Box(object):
def __init__(self, w, h, d):
self.width = w
self.depth = d
self.height = h
def __repr__(self):
return "{}x{}x{}".format(self.width, self.depth, self.height)
def lt(self, b):
return all([
self.width < b.width,
self.height < b.height,
self.depth < b.depth,
])
def gt(self, b):
return all([
self.width > b.width,
self.height > b.height,
self.depth > b.depth,
])
def random_box():
return Box(
randint(1, 10),
randint(1, 10),
randint(1, 10),
)
xs = [random_box() for _ in range(5)]
def highest_stack(xs, cache={}):
if not xs:
return 0
heights = []
for i in range(len(xs)):
x, rest = xs[i], xs[0:i] + xs[i+1:]
if cache and x in cache:
height = cache[x]
else:
height = x.height + highest_stack([b for b in rest if x.gt(b)], cache)
cache[x] = height
heights += [height]
return max(heights)
print(xs)
print(highest_stack(xs))
