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Lattice Path

A path composed of connected horizontal and vertical line segments, each passing between adjacent lattice points. A lattice path is therefore a sequence of points with 𝑃0, 𝑃1, … , 𝑃𝑛 such that each is a lattice point and is obtained by offsetting one unit east (or west) 𝑛 >= 0 𝑃𝑖 𝑃𝑖+1 or one unit north (or south).

Lattice Path

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