There is a mysterious button. When you press this button, you receive one candy, unless less than $C$ seconds have elapsed since you last received a candy.

Takahashi decided to press this button $N$ times. He will press the button for the $i$-th time $T_i$ seconds from now.

How many candies will he receive?

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

$N$ $C$

$T_1$ $T_2$ $\dots$ $T_N$

• $1 \leq N \leq 100$
• $1 \leq C \leq 1000$
• $0 \leq T_1 < T_2 < \dots < T_N \leq 1000$
• All input values are integers.

Takahashi will press the button six times.

• 1st press ($1$ second from now): You always receive a candy when pressing the button for the first time.
• 2nd press ($3$ seconds from now): $3 - 1 = 2 < C$ seconds have elapsed since he last received a candy, so he does not receive a candy.
• 3rd press ($7$ seconds from now): $7 - 1 = 6 \geq C$ seconds have elapsed since he last received a candy, so he receives a candy.
• 4th press ($8$ seconds from now): $8 - 7 = 1 < C$ second has elapsed since he last received a candy, so he does not receive a candy.
• 5th press ($10$ seconds from now): $10 - 7 = 3 < C$ seconds have elapsed since he last received a candy, so he does not receive a candy.
• 6th press ($12$ seconds from now): $12 - 7 = 5 \geq C$ seconds have elapsed since he last received a candy, so he receives a candy.

Therefore, he receives three candies.