Problem Statement

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.

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.

Input

The input is given from Standard Input in the following format:

N T
A_1 A_2 \dots A_N

Output

Output the answer.