Iterate/Enumerate Python 中 N^5 的子集

Question

我有 ℕ⁵ 的子集，五维向量，其元素位于自然数中。此子集定义为区间 [a₁、a_{2 的乘积}]×[b₁,b₂]×...×[f₁, f₂]，我想枚举大小为 1 的子集，即向量 (x₁, x₂,x₃,x₄, x₅) 其中 x₁ 在 [a₁, a₂], x₂ 在 [b₁、b₂] 等。最好的方法是什么？

Answer 1

这是 cartesian product and you can use itertools.product 来计算它：

a = [0, 1]
b = [2, 3]
c = [4, 5]
d = [6, 7]
e = [8, 9]

for subset in product(a, b, c, d, e):
    print(subset)

输出

(0, 2, 4, 6, 8)
(0, 2, 4, 6, 9)
(0, 2, 4, 7, 8)
(0, 2, 4, 7, 9)
(0, 2, 5, 6, 8)
(0, 2, 5, 6, 9)
(0, 2, 5, 7, 8)
(0, 2, 5, 7, 9)
(0, 3, 4, 6, 8)
(0, 3, 4, 6, 9)
(0, 3, 4, 7, 8)
(0, 3, 4, 7, 9)
(0, 3, 5, 6, 8)
(0, 3, 5, 6, 9)
(0, 3, 5, 7, 8)
(0, 3, 5, 7, 9)
(1, 2, 4, 6, 8)
(1, 2, 4, 6, 9)
(1, 2, 4, 7, 8)
(1, 2, 4, 7, 9)
(1, 2, 5, 6, 8)
(1, 2, 5, 6, 9)
(1, 2, 5, 7, 8)
(1, 2, 5, 7, 9)
(1, 3, 4, 6, 8)
(1, 3, 4, 6, 9)
(1, 3, 4, 7, 8)
(1, 3, 4, 7, 9)
(1, 3, 5, 6, 8)
(1, 3, 5, 6, 9)
(1, 3, 5, 7, 8)
(1, 3, 5, 7, 9)

Iterate/Enumerate Python 中 N^5 的子集

Iterate/Enumerate over a subset of N^5 in Python

python

iteration

enumeration