#K67787. The Magic Spiral Thrill
The Magic Spiral Thrill
The Magic Spiral Thrill
In this problem, you are given an integer d representing the day number of the event "The Magic Spiral". The thrill level on day d is calculated as follows:
For d = 1, the thrill level is 1. For any d > 1, the thrill level is computed using the formula:
$$T(d)=\left(\sum_{i=1}^{d-1} T(i)\right)+1$$
This recurrence relation quickly reveals that T(d) = 2^{d-1}. Your task is to compute the thrill level on the given day d.
Input/Output Note: Your program should read input from stdin
and write the output to stdout
.
inputFormat
The input consists of a single integer d (1-indexed) provided on a single line, which represents the day number.
outputFormat
Output a single line containing the thrill level on the d-th day, which is computed as 2^(d-1).
## sample1
1