Sum 求和问题

Description

Consider the natural numbers from 1 to N. By associating to each number a sign (+ or -) and calculating the value of this expression we obtain a sum S. The problem is to determine for a given sum S the minimum number N for which we can obtain S by associating signs for all numbers between 1 to N.

For a given S, find out the minimum value N in order to obtain S according to the conditions of the problem.
Input

The only line contains in the first line a positive integer S (0< S <= 100000) which represents the sum to be obtained.
Output

The output will contain the minimum number N for which the sum S can be obtained.
Sample Input

12
Sample Output

7

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