2014 USAJMO Problems
Contents
Day 1
Problem 1
Let ,
,
be real numbers greater than or equal to
. Prove that
Solution
Problem 2
Problem 3
Let be the set of integers. Find all functions
such that
for all
with
.
Let ,
,
be real numbers greater than or equal to
. Prove that
Solution
Let be the set of integers. Find all functions
such that
for all
with
.
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