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Omni-MATH / After the Guts round ends, HMMT organizers will collect all answers submitted to…

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problem

After the Guts round ends, HMMT organizers will collect all answers submitted to all 66 questions (including this one) during the individual rounds and the guts round. Estimate NN, the smallest positive integer that no one will have submitted at any point during the tournament. An estimate of EE will receive max(0,24−4|E−N|)\max (0,24-4|E-N|) points.
Plain-text mathematical notation (without MathML)
After the Guts round ends, HMMT organizers will collect all answers submitted to all 66 questions (including this one) during the individual rounds and the guts round. Estimate N, the smallest positive integer that no one will have submitted at any point during the tournament. An estimate of E will receive max(0,24−4|E−N|) points.
Original LaTeX notation
After the Guts round ends, HMMT organizers will collect all answers submitted to all 66 questions (including this one) during the individual rounds and the guts round. Estimate $N$, the smallest positive integer that no one will have submitted at any point during the tournament. An estimate of $E$ will receive $\max (0,24-4|E-N|)$ points.

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