Problem:
Score : 300 points

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.

Input

Input is given from Standard Input in the following format:

N T
t_1 t_2 ... t_N

Output

Assume that the shower will emit water for a total of X seconds. Print X.

Sample Input 1

2 4
0 3

Sample Output 1

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 2

2 4
0 5

Sample Output 2

8

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

Sample Input 3

4 1000000000
0 1000 1000000 1000000000

Sample Output 3

2000000000

Sample Input 4

1 1
0

Sample Output 4

1

Sample Input 5

9 10
0 3 5 7 100 110 200 300 311

Sample Output 5

67

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

namespace sentou
{
    class Program
    {
        static void Main(string[] args)
        {
            String[] s = Console.ReadLine().Split(' ');
            String[] ss = Console.ReadLine().Split(' ');
            int n = int.Parse(s[0]);
            int t = int.Parse(s[1]);
            int[] a = new int[n];

            for(int i = 0; i < n; i++){
                a[i] = int.Parse(ss[i]);
            }

            int ans = t;
            for(int i = 0; i < n - 1; i++){
                if(a[i+1]-a[i] < t){
                    ans += a[i+1] - a[i];
                }else if(a[i+1]-a[i] >= t){
                    ans += t;
                }
            }
            Console.WriteLine(ans);
        }
    }
}