How Can I Generate Permutations with Unique Values in Python?

Permutations with Unique Values

The provided Python code faces an issue with generating permutations using itertools.permutations, where elements are considered unique based on their position, leading to repeated values.

To address this, sympy offers an optimized iterator, multiset_permutations. This iterator directly generates permutations that recognize values as unique, disregarding their order.

Below is an example demonstrating the use of multiset_permutations to obtain permutations with unique values:

from sympy.utilities.iterables import multiset_permutations

permutations = list(multiset_permutations([1,1,1]))
print(permutations)  # Output: [[1, 1, 1]]

In this case, the output correctly reflects that there is only one unique permutation resulting from the unique values in the input.

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