LogiQuest

153. N-th Ugly Number

MediumDynamic Programming

Ugly numbers have no prime factors other than 2, 3 and 5 (1 is ugly). Print the n-th ugly number.

Input format

A single integer n.

Output format

The n-th ugly number.

Example 1

Input

10

Output

12

Example 2

Input

1

Output

1

Constraints

1 ≤ n ≤ 1690

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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