AT_abc443_c [ABC443C] Chokutter Addiction

AtCoder Inc. starts work at time $ 0 $ and ends work at time $ T $ . The interval between time $ t $ and time $ t+1 $ is $ 1 $ second. Takahashi-kun views the SNS chokutter during AtCoder Inc.'s business hours according to the following rules: - He opens chokutter at the same time as work starts. - If chokutter is open at the moment Aoki-kun passes behind Takahashi-kun's desk, he immediately closes it. - If Takahashi-kun closes chokutter at time $ t $ , he always opens it at time $ t+100 $ . From the start to the end of work, Aoki-kun passed behind Takahashi-kun's desk $ N $ times, with the $ i $ -th time being at time $ A_i $ . From the start to the end of work, for how many seconds in total was Takahashi-kun viewing chokutter? **Aoki-kun never passed behind the desk at the moment when Takahashi-kun opened chokutter.**

The input is given from Standard Input in the following format: > $ N $ $ T $ $ A_1 $ $ A_2 $ $ \dots $ $ A_N $

Output the answer.

### Sample Explanation 1 - At time $ 0 $ , Takahashi-kun opens chokutter. - At time $ 100 $ , Aoki-kun passes behind Takahashi-kun's desk, and Takahashi-kun immediately closes chokutter. - At time $ 150 $ , Aoki-kun passes behind Takahashi-kun's desk, but Takahashi-kun does not have chokutter open at this time. - At time $ 200 $ , Takahashi-kun opens chokutter again. - At time $ 300 $ , Aoki-kun passes behind Takahashi-kun's desk, and Takahashi-kun immediately closes chokutter. - At time $ 350 $ , Aoki-kun passes behind Takahashi-kun's desk, but Takahashi-kun does not have chokutter open at this time. - At time $ 400 $ , Takahashi-kun opens chokutter again. - At time $ 700 $ , Aoki-kun passes behind Takahashi-kun's desk, and Takahashi-kun immediately closes chokutter. Takahashi-kun was viewing chokutter for a total of $ 500 $ seconds. ### Sample Explanation 2 There may be cases where Aoki-kun never passes behind Takahashi-kun's desk. ### Constraints - All input values are integers. - $ 0 \le N \le 3 \times 10^5 $ - $ 1 \le A_1 < A_2 < \dots < A_N \le T \le 10^9 $ - Aoki-kun never passes behind the desk at the moment when Takahashi-kun opens chokutter.