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: Wrong Answer)

using System;
class P
{
    static void Main(string[] args)
    {
        var kari = Console.ReadLine().Split(' ');

        int ninzu = int.Parse(kari[0]);
        int oyu = int.Parse(kari[1]);
        var timeS = Console.ReadLine().Split(' ');
        int[] time = new int[ninzu];
        for (int i = 0; i < ninzu; i++)
        {
            time[i] = int.Parse(timeS[i]);
        }
        int sum_time = 0;

        for (int i = 1; i < time.Length; i++)
        {
            if ((time[i] - time[i - 1]) > oyu) { sum_time += time[i]; }
            else { sum_time += oyu; }
        }

        Console.WriteLine(sum_time);
    }
}