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Putnam
1979 Putnam
A1
Putnam 1979 A1
Putnam 1979 A1
Source:
April 8, 2022
college contests
Problem Statement
Find positive integers
n
n
n
and
a
1
,
a
2
,
…
,
a
n
a_1, a_2, \dots, a_n
a
1
,
a
2
,
…
,
a
n
such that
a
1
+
a
2
+
…
a
n
=
1979
a_1+a_2+\dots a_n=1979
a
1
+
a
2
+
…
a
n
=
1979
and the product
a
1
a
2
…
a
n
a_1a_2\dots a_n
a
1
a
2
…
a
n
as large as possible.
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