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Putnam
1974 Putnam
B1
B1
Part of
1974 Putnam
Problems
(1)
Putnam 1974 B1
Source: Putnam 1974
5/28/2022
Which configurations of five (not necessarily distinct) points
p
1
,
…
,
p
5
p_1 ,\ldots, p_5
p
1
,
…
,
p
5
on the circle
x
2
+
y
2
=
1
x^2 +y^2 =1
x
2
+
y
2
=
1
maximize the sum of the ten distances
∑
i
<
j
d
(
p
i
,
p
j
)
?
\sum_{i<j} d(p_i, p_j)?
i
<
j
∑
d
(
p
i
,
p
j
)?
Putnam
distance
circle