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Given an integer n
, return the nth
ugly number.
Ugly number is a positive number whose prime factors only include 2
, 3
, and/or 5
.
Example 1:
Input: n = 10
Output: 12
Explanation: [1, 2, 3, 4, 5, 6, 8, 9, 10, 12] is the sequence of the first 10 ugly numbers.
Example 2:
Input: n = 1
Output: 1
Explanation: 1 is typically treated as an ugly number.
Constraints:
1 <= n <= 1690