Ten-Digit Number

Yael writes ten-digit numbers in whose decimal representation each of the digits `0, 1, 2, 3, 4, 5, 6, 7, 8, 9` appears exactly once.
In the numbers that Yael writes, the difference between any two adjacent digits is at least 2. What is the smallest number Yael can write?
 

Difficulty level (1 very easy - 10 very hard): 1

Topics:
Number Theory Proof and Example -> Constructing an Example / Counterexample Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures
Sources:
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