Problems > The N-th Ugly Number

The N-th Ugly Number

Difficulty: 1400 2000 ms 128 MB

math dp

Ugly numbers have only 2, 3 and 5 as prime factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, ... Print the N-th.

Input: one integer N.

Output: the N-th ugly number.

Constraints:

  • 1 ≤ N ≤ 1500

Sample Tests

Input 1
10
Output 1
12
Input 2
1
Output 2
1

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