Problem Statement

In a public bath, there is a shower which emits water for $T$ seconds when the switch is pushed.

If the switch is pushed when the shower is already emitting water, from that moment it will be emitting water for $T$ seconds. Note that it does not mean that the shower emits water for $T$ additional seconds.

$N$ people will push the switch while passing by the shower. The $i$-th person will push the switch $t_i$ seconds after the first person pushes it.

How long will the shower emit water in total?

Constraints

• $1 ≤ N ≤ 200,000$
• $1 ≤ T ≤ 10^9$
• $0 = t_1 < t_2 < t_3 < , ..., < t_{N-1} < t_N ≤ 10^9$
• $T$ and each $t_i$ are integers.

Sample Input 1Copy

2 4
0 3

Sample Output 1Copy

7

Three seconds after the first person pushes the water, the switch is pushed again and the shower emits water for four more seconds, for a total of seven seconds.

Sample Input 2Copy

2 4
0 5

Sample Output 2Copy

8

One second after the shower stops emission of water triggered by the first person, the switch is pushed again.

Sample Input 3Copy

4 1000000000
0 1000 1000000 1000000000

Sample Output 3Copy

2000000000

Sample Input 4Copy

1 1
0

Sample Output 4Copy

1

Sample Input 5Copy

9 10
0 3 5 7 100 110 200 300 311

Sample Output 5Copy

67