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Problems

Towers of Hanoi

Towers of Hanoi

Three pegs are given. The first peg contains n disks in ascending order of their size from top to bottom. The other two pegs are empty. You must move all disks from the first peg to the second. You can move each time only one disk. It is not allowed to put a larger disk on a smaller one.

How many legal configurations of n disks on three pegs are there?

Input

One integer n (1n20).

Output

Print the number of legal configurations.

Time limit 1 second
Memory limit 128 MiB
Input example #1
1
Output example #1
3