Difference between revisions of "2022 IMO Problems/Problem 3"
(Created page with "==Problem== Let <math>k</math> be a positive integer and let <math>S</math> be a finite set of odd prime numbers. Prove that there is at most one way (up to rotation and refle...") |
(→Solution) |
||
| Line 4: | Line 4: | ||
==Solution== | ==Solution== | ||
https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems] | https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems] | ||
| + | |||
| + | https://youtu.be/_kF9uXCZ6l4 [Video Solution by little fermat] | ||
Revision as of 10:58, 12 September 2022
Problem
Let 
be a positive integer and let 
be a finite set of odd prime numbers. Prove that there is at most one way (up to rotation and reflection) to place the elements of around a circle such that the product of any two neighbours is of the form 
for some positive integer 
.
Solution
https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems]
https://youtu.be/_kF9uXCZ6l4 [Video Solution by little fermat]
