pub fn php_perm_symmetries(n: usize) -> Vec<Perm>
The pigeonhole grid symmetry group Sₙ × Sₙ₋₁ as scalable Perms — adjacent pigeon (row) and hole (column) transpositions over the n*(n-1) grid variables. No u64 cap.
Sₙ × Sₙ₋₁
Perm
n*(n-1)
u64