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International Contests
IMO Longlists
1977 IMO Longlists
54
54
Part of
1977 IMO Longlists
Problems
(1)
Prove the inequality for a ≤ b ≤ c ≤ d - [ILL 1977]
Source:
1/11/2011
If
0
≤
a
≤
b
≤
c
≤
d
,
0 \leq a \leq b \leq c \leq d,
0
≤
a
≤
b
≤
c
≤
d
,
prove that
a
b
b
c
c
d
d
a
≥
b
a
c
b
d
c
a
d
.
a^bb^cc^dd^a \geq b^ac^bd^ca^d.
a
b
b
c
c
d
d
a
≥
b
a
c
b
d
c
a
d
.
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