Finding the closest number in a random set

Question

Say I got a set of 10 random numbers between 0 and 100.

An operator gives me also a random number between 0 and 100. Then I got to find the number in the set that is

Answer 1

1. order the set
2. binary search for the input
3. if you end up between two elements, check the difference, and return the one with the smallest difference.