2021 USAJMO Problems/Problem 4
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Carina has three pins, labeled 
, and 
, respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance 
away. What is the least number of moves that Carina can make in order for triangle 
to have area 2021?
(A lattice point is a point 
in the coordinate plane where 
and 
are both integers, not necessarily positive.)
