Notebook

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Problem

Emma is writing bits (1’s and 0’s) in her notebook. Every second, she writes more bits.

In the 1st second, she writes two bits in her notebook. She starts with 0 and alternates between 0 and 1. They look like this:

0 1

In the 2nd second, she writes three more bits in her notebook. This time, she starts with 1 and keeps alternating between 0 and 1. Now, they look like this:

0 1
1 0 1

After 6 seconds, her notebook looks like this:

0 1
1 0 1
0 1 0 1
1 0 1 0 1
0 1 0 1 0 1
1 0 1 0 1 0 1

If you count carefully, you can see that Emma wrote 15 1's in her notebook after 6 seconds. She wants to know how many 1's she can write in T seconds.


Input Format:
The input contains a single integer T, indicating the time in seconds.


Output Format:
Print the number of 1’s Emma can write in T seconds.


Constraints:
1 ≤ T ≤ 1 000 000 000

Time Limit: 2
Memory Limit: 256
Source Limit:
Editor Image

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