Favourite Numbers

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Points: 7 (partial)
Time limit: 1.0s
Memory limit: 64M

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Problem type

Out of all the numbers that exist, justinzhu only likes some specific numbers. The only numbers that he like are numbers, if prime factorized, only contain the numbers 2 or 3. However, since justinzhu really likes to be number 1 (even though that never happens), the smallest number that he likes is the number 1.

Out of all these numbers, justinzhu would like for you to write a solution that finds the N^{th} smallest number that he likes.

Note that your answer may exceed a 32-bit integer.

Input Specification

One Integer N (1 \leq N \leq 1000), the N^{th} number that he is looking for.

Output Specification

One Value, the N^{th} smallest number in the list of numbers that justinzhu likes.

Sample Input 1

5

Sample Output 1

6

Explanation for Sample Output 1

The first 5 numbers that justinzhu likes are 1, 2, 3, 4, 6. Thus, the 5th one is 6, the one he is looking for.

Sample Input 2

8

Sample Output 2

12

Explanation for Sample Output 2

The next 3 numbers are 8, 9, 12, so 12 is the answer.

Sample Input 3

50

Sample Output 3

2304

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