HMMT 二月 2013 · 冲刺赛 · 第 36 题

英文解析

36. [ 24 ] (Mathematicians A to Z) Below are the names of 26 mathematicians, one for each letter ofthe alphabet. Your answer to this question should be a subset of { A, B, · · · , Z } , where each letterrepresents the corresponding mathematician. If two mathematicians in your subset have birthdatesthat 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 withthis 11-element subset, earning 24 points: { O, D, P, E, B, C, R, H, K, S, Y } .
    Guts Round