Pebble Solitaire We begin with a set of 15 identical pebbles. These pebbles are split up into some arbitrary number of (nonempty) piles of unknown sizes. A move consists of removing one pebble from each pile and using these pebbles to form a new pile. Piles with zero pebbles are ignored. These process is repeated indeﬁnitely. For example, if we started with the sizes
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