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2013 Harvard-MIT Mathematics Tournament
36
36
Part of
2013 Harvard-MIT Mathematics Tournament
Problems
(1)
2013 HMMT Guts #36: Mathematicians Born Apart
Source:
3/26/2013
(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
}
\{A,B,\cdots,Z\}
{
A
,
B
,
⋯
,
Z
}
, where each letter represents the corresponding mathematician. If two mathematicians in your subset have birthdates that are within
20
20
20
years of each other, then your score is
0
0
0
. Otherwise, your score is
max
(
3
(
k
−
3
)
,
0
)
\max(3(k-3),0)
max
(
3
(
k
−
3
)
,
0
)
where
k
k
k
is the number of elements in your set.\begin{tabular}{cc}Niels Abel & Isaac Newton\\Etienne Bezout & Nicole Oresme \\ Augustin-Louis Cauchy & Blaise Pascal \\ Rene 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\end{tabular}
HMMT
Euler
email
MIT
college