olymmath

HMMT 2006 T4

  • Team 1
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In this problem and the next, the lawn consists of points in a triangular grid of size nn, so that for n=3n=3 the lawn looks like

Mobots are allowed to be oriented to the east, 30∘30^{\circ} west of north, or 30∘30^{\circ} west of south. Under these conditions, for any given nn, what is the minimum number of mobots needed to now the lawn?

Dataset text NuminaMath olympiads. Quoted with source.

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