BulgarianSolitaire

A move of Bulgarian solitaire: the first column of the Ferrers diagram becomes a new row.

FindStatMp00308via IntegerPartition↗

BulgarianSolitaire(IntegerPartition)A move of Bulgarian solitaire: the first column of the Ferrers diagram becomes a new row.

Typed signatures

Type	Package	Applies
(integer_partition) -> integer_partition	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a IntegerPartition and returns a IntegerPartition — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00308. Not injective; the fixed points are the staircase partitions.

Examples

Basic #

the partition $4 + 2 + 1$

live ↗

In$\mathrm{BulgarianSolitaire}({\operatorname{IntegerPartition}}([4, 2, 1]))$Out${\operatorname{IntegerPartition}}([3, 3, 1])$

About

Examples	1
Crosswalk	FindStat