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