HackerLand Enterprise is adopting a new viral advertising strategy. When they launch a new product, they advertise it to exactly people on social media.
On the first day, half of those people (i.e., ) like the advertisement and each shares it with of their friends. At the beginning of the second day, people receive the advertisement.
Each day, of the recipients like the advertisement and will share it with friends on the following day. Assuming nobody receives the advertisement twice, determine how many people have liked the ad by the end of a given day, beginning with launch day as day .
Example
.
Day Shared Liked Cumulative
1 5 2 2
2 6 3 5
3 9 4 9
4 12 6 15
5 18 9 24
The progression is shown above. The cumulative number of likes on the day is .
Function Description
Complete the viralAdvertising function in the editor below.
viralAdvertising has the following parameter(s):
- int n: the day number to report
Returns
- int: the cumulative likes at that day
Input Format
A single integer, , the day number.
Constraints
Sample Input
3
Sample Output
9
Explanation
This example is depicted in the following diagram:
people liked the advertisement on the first day, people liked the advertisement on the second day and people liked the advertisement on the third day, so the answer is .
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