SASMO 2027 · Grades 4-5 · SET 002 · Self-study Question 2

For positive integers $a,b$, define $a\odot b$ as the remainder when the larger number is divided by the smaller. For example, $5\odot12=12\odot5=2$. Given $(11\odot x)\odot11=2$, find the minimum positive integer $x$. The intermediate operation must be defined, so its divisor cannot be zero.



Enter the numerical answer only.