A plane partition is a two-dimensional array of integers n_(i, j) that are nonincreasing both from left to right and top to bottom and that add up to a given number n. In other words, n_(i, j)>=n_(i, j + 1) n_(i, j)>=n_(i + 1, j) and n = sum_(i, j) n_(i, j). Implicit in this definition is the requirement that the array be flush on top and to the left and contain no holes.
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