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Omni-MATH / Consider an equilateral triangle T of side length 12. Matthew cuts T into N smaller equilateral triangles, each of which has side length 1,3, or 8. Compute the minimum possible val…

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problem

Consider an equilateral triangle TT of side length 12. Matthew cuts TT into NN smaller equilateral triangles, each of which has side length 1,3, or 8. Compute the minimum possible value of NN.
Plain-text mathematical notation (without MathML)
Consider an equilateral triangle T of side length 12. Matthew cuts T into N smaller equilateral triangles, each of which has side length 1,3, or 8. Compute the minimum possible value of N.
Original LaTeX notation
Consider an equilateral triangle $T$ of side length 12. Matthew cuts $T$ into $N$ smaller equilateral triangles, each of which has side length 1,3, or 8. Compute the minimum possible value of $N$.

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