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10
1999 Advanced Topics #10: Minimum Possible Value
1999 Advanced Topics #10: Minimum Possible Value
Source:
June 21, 2012
Problem Statement
Find the minimum possible value of the largest of
x
y
xy
x
y
,
1
−
x
−
y
+
x
y
1-x-y+xy
1
−
x
−
y
+
x
y
, and
x
+
y
−
2
x
y
x+y-2xy
x
+
y
−
2
x
y
if
0
≤
x
≤
y
≤
1
0\leq x \leq y \leq 1
0
≤
x
≤
y
≤
1
.
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