The package for this problem was not updated by the problem writer or Codeforces administration after we've upgraded the judging servers. To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.

Codeforces Beta Round 11 |
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Finished |

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math

*1600

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B. Jumping Jack

time limit per test

1 secondmemory limit per test

64 megabytesinput

standard inputoutput

standard outputJack is working on his jumping skills recently. Currently he's located at point zero of the number line. He would like to get to the point *x*. In order to train, he has decided that he'll first jump by only one unit, and each subsequent jump will be exactly one longer than the previous one. He can go either left or right with each jump. He wonders how many jumps he needs to reach *x*.

Input

The input data consists of only one integer *x* ( - 10^{9} ≤ *x* ≤ 10^{9}).

Output

Output the minimal number of jumps that Jack requires to reach *x*.

Examples

Input

2

Output

3

Input

6

Output

3

Input

0

Output

0

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