Set Definition

Time Limit: 1000MS

Memory Limit: 65536K

Description

Set S is defined as follows: (1) 1 is in S; (2) If x is in S, then 2x + 1 and 3x + 1 are also in S; (3) No other element belongs to S. Find the N-th element of set S, if we sort the elements in S by increasing order.

Input

Input will contain several test cases; each contains a single positive integer N (1 <= N <= 10000000), which has been described above.

Output

For each test case, output the corresponding element in S.

Sample Input

100
254

Sample Output

418
1461

Hint

Source

POJ Monthly--2005.08.28,Static

提交代码