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#1318

Ugly Numbers 1s 256MB

Problems

Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, ...

shows the first 10 ugly numbers. By convention, 1 is included.

Given the integer n,write a program to find and print the n'th ugly number.


Input

Each line of the input contains a postisive integer n (n <= 1500). Input is terminated by a line with n=0.


Output

For each line, output the n’th ugly number. Don’t deal with the line with n=0.


Example

1 

2
9
0
1 

2
10


Source

New Zealand 1990 Division I,UVA 136 Ugly Numbers, poj 1338

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