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Omni-MATH / Let S be the set of lattice points inside the circle x²+y²=11. Let M be the greatest area of any triangle with vertices in S. How many triangles with vertices in S have area M?

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problem

Let SS be the set of lattice points inside the circle x2+y2=11x^{2}+y^{2}=11. Let MM be the greatest area of any triangle with vertices in SS. How many triangles with vertices in SS have area MM?
Plain-text mathematical notation (without MathML)
Let S be the set of lattice points inside the circle x²+y²=11. Let M be the greatest area of any triangle with vertices in S. How many triangles with vertices in S have area M?
Original LaTeX notation
Let $S$ be the set of lattice points inside the circle $x^{2}+y^{2}=11$. Let $M$ be the greatest area of any triangle with vertices in $S$. How many triangles with vertices in $S$ have area $M$?

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