CF796A Buying A House

Description

Zane the wizard had never loved anyone before, until he fell in love with a girl, whose name remains unknown to us. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF796A/8aa573b8462c0371d723b29bc703ceb564b7d8af.png)The girl lives in house $ m $ of a village. There are $ n $ houses in that village, lining in a straight line from left to right: house $ 1 $ , house $ 2 $ , ..., house $ n $ . The village is also well-structured: house $ i $ and house $ i+1 $ ( $ 1

Input Format

The first line contains three integers $ n $ , $ m $ , and $ k $ ( $ 2

Output Format

Print one integer — the minimum distance, in meters, from the house where the girl Zane likes lives to the house Zane can buy.

Explanation/Hint

In the first sample, with $ k=20 $ dollars, Zane can buy only house $ 5 $ . The distance from house $ m=1 $ to house $ 5 $ is $ 10+10+10+10=40 $ meters. In the second sample, Zane can buy houses $ 6 $ and $ 7 $ . It is better to buy house $ 6 $ than house $ 7 $ , since house $ m=3 $ and house $ 6 $ are only $ 30 $ meters away, while house $ m=3 $ and house $ 7 $ are $ 40 $ meters away.