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Putnam
1988 Putnam
A1
Putnam 1988 A1
Putnam 1988 A1
Source:
August 6, 2019
Putnam
Problem Statement
Let
R
R
R
be the region consisting of the points
(
x
,
y
)
(x,y)
(
x
,
y
)
of the cartesian plane satisfying both
∣
x
∣
−
∣
y
∣
≤
1
|x|-|y| \leq 1
∣
x
∣
−
∣
y
∣
≤
1
and
∣
y
∣
≤
1
|y| \leq 1
∣
y
∣
≤
1
. Sketch the region
R
R
R
and find its area.
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