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SMO 2019 Senior Round 1 Question 21

SMO · SMO 2019 Senior Round 1

Question 21

Consider a square $ABCD$ on the $xy$-plane where the coordinates of its vertices are given by $A(13,0)$, $B(23,13)$, $C(10,23)$ and $D(0,10)$. A lattice point is a point with integer coordinates. Find the number of lattice points in the interior of the square.