Bulgarian solitaire is a mathematical game or card game-like puzzle that involves a rearrangement of a set of numbers. It can also be played with a pile of cards or chips. The game is played with a certain number of piles of items, which represent the numbers. Here’s how it typically works: 1. **Initial Setup**: Start with a collection of piles of various sizes. Each pile contains a certain number of items, and the total number of items is fixed.

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A move removes one counter from each nonempty pile and forms a new pile from the removed counters. Thus the move acts on an integer partition of a fixed total.