HMMT 二月 2013 · 冲刺赛 · 第 36 题

HMMT February 2013 — Guts Round — Problem 36

[ 24 ] (Mathematicians A to Z) Below are the names of 26 mathematicians, one for each letter of the alphabet. Your answer to this question should be a subset of { A, B, · · · , Z } , where each letter represents the corresponding mathematician. If two mathematicians in your subset have birthdates that are within 20 years of each other, then your score is 0. Otherwise, your score is max(3( k − 3) , 0) where k is the number of elements in your subset. Niels Abel Isaac Netwon ´ Etienne B´ ezout Nicole Oresme Augustin-Louis Cauchy Blaise Pascal Ren´ e Descartes Daniel Quillen Leonhard Euler Bernhard Riemann Pierre Fatou Jean-Pierre Serre Alexander Grothendieck Alan Turing David Hilbert Stanislaw Ulam Kenkichi Iwasawa John Venn Carl Jacobi Andrew Wiles Andrey Kolmogorov Leonardo Ximenes Joseph-Louis Lagrange Shing-Tung Yau John Milnor Ernst Zermelo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

解析

[ 24 ] (Mathematicians A to Z) Below are the names of 26 mathematicians, one for each letter of the alphabet. Your answer to this question should be a subset of { A, B, · · · , Z } , where each letter represents the corresponding mathematician. If two mathematicians in your subset have birthdates that are within 20 years of each other, then your score is 0. Otherwise, your score is max(3( k − 3) , 0) where k is the number of elements in your subset. Niels Abel Isaac Netwon ´ Etienne B´ ezout Nicole Oresme Augustin-Louis Cauchy Blaise Pascal Ren´ e Descartes Daniel Quillen Leonhard Euler Bernhard Riemann Pierre Fatou Jean-Pierre Serre Alexander Grothendieck Alan Turing David Hilbert Stanislaw Ulam Kenkichi Iwasawa John Venn Carl Jacobi Andrew Wiles Andrey Kolmogorov Leonardo Ximenes Joseph-Louis Lagrange Shing-Tung Yau John Milnor Ernst Zermelo Answer: { O, D, P, E, B, C, R, H, K, S, Y } A knowledgeable math historian might come up with this 11-element subset, earning 24 points: { O, D, P, E, B, C, R, H, K, S, Y } . Guts Round