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Ugly Number II

An ugly number is a positive integer whose prime factors are limited to 2, 3, and 5.

An ugly number is a positive integer whose prime factors are limited to 2, 3, and 5.

Given an integer n, return the nth ugly number.

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 has no prime factors, therefore all of its prime factors are limited to 2, 3, and 5.

Constraints

  • 1 <= n <= 1690

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