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E. Unsolvable

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputConsider the following equation:

Let's find all integer *z* (*z* > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" means that there are no such positive integers *x* and *y* (*x*, *y* > 0), for which the given above equation holds.

Let's write out all such *z* in the increasing order: *z*_{1}, *z*_{2}, *z*_{3}, and so on (*z*_{i} < *z*_{i + 1}). Your task is: given the number *n*, find the number *z*_{n}.

Input

The first line contains a single integer *n* (1 ≤ *n* ≤ 40).

Output

Print a single integer — the number *z*_{n} modulo 1000000007 (10^{9} + 7). It is guaranteed that the answer exists.

Examples

Input

1

Output

1

Input

2

Output

3

Input

3

Output

15

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