2021 CIME I Problems
| 2021 CIME I (Problems • Answer Key • Resources) | ||
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| All CIME Problems and Solutions | ||
Problem 1
Let 
be a square. Points 
and 
are on sides 
and 
respectively
such that the areas of quadrilaterals 
and 
are 
and 
respectively. Given that 
then 
where 
and 
are relatively prime positive integers. Find 
.
Problem 2
For digits 
with 
the positive integer 
can be written as 
in base 
and 
in base 
. Find the base-
representation of .
