403. Scientific Problem

Time limit per test: 0.25 second(s)
Memory limit: 65536 kilobytes
input: standard
output: standard



Once upon a time Professor Idioticideasinventor was travelling by train. Watching cheerless landscape outside the window, he decided to invent the theme of his new scientific work. All of a sudden a brilliant idea struck him: to develop an effective algorithm finding an integer number, which is x times less than the sum of all its integer positive predecessors, where number x is given. As far as he has no computer in the train, you have to solve this difficult problem.

Input
The first line of the input file contains an integer number x (1 ≤ x ≤ 109).

Output
Output an integer number — the answer to the problem.

Example(s)
sample input
sample output
1
3

sample input
sample output
2
5




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