2021 CIME I Problems
2021 CIME I (Answer Key) | AoPS Contest Collections | ||
Instructions
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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 .
See also
2021 CIME I (Problems • Answer Key • Resources) | ||
Preceded by 2020 CIME II Problems |
Followed by 2021 CIME II Problems | |
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All CIME Problems and Solutions |