#C3154. Counting Branches in Alice's Tree

    ID: 46550 Type: Default 1000ms 256MiB

Counting Branches in Alice's Tree

Counting Branches in Alice's Tree

Alice planted a magical tree that grows in a unique way. Initially, there is only 1 branch. The tree grows each year based on the following rules:

  • If the year is odd, every branch multiplies by 4.
  • If the year is even, every branch multiplies by 2.

You are required to compute the total number of branches after N years. The growth can be formally expressed as:

$$ B = 1 \times \prod_{i=1}^{N} \begin{cases} 4, & \text{if } i \text{ is odd} \\ 2, & \text{if } i \text{ is even} \end{cases} $$

Note that input is given via stdin and output should be printed to stdout.

inputFormat

The input consists of a single integer N (where 1 ≤ N ≤ 10^5), which represents the number of years since the tree was planted.

outputFormat

Output a single integer, the total number of branches on the tree after N years.

## sample
1
4

</p>