MathDB

Carina has three pins, labeled

A, B

, and

C

, respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance

1

away. What is the least number of moves that Carina can make in order for triangle

ABC

to have area 2021?
(A lattice point is a point

(x, y)

in the coordinate plane where

x

and

y

are both integers, not necessarily positive.)

Problem Statement