Ugly Number

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Dynamic Programming

Question Solve Solutions

1. You are given a number N.
2. You have to find Nth ugly number.
3. Ugly number is defined as the number whose prime factors are only 2,3 and 5.  
4. First eleven ugly numbers are -&gt; 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15.

Assumption -&gt; 1 is the first ugly number.

Input Format

A number N

Output Format

A number representing Nth ugly number.

Constraints

1 &lt;= N &lt;= 10^4

Example

Input

Output

Number Of Ways Of Triangulation

Find Water In Glass

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