Reference to 機動戦士ガンダム 水星の魔女

Enemies are surrounding us!

You are currently situated in a battlefield where $N$ enemies are around you. Your mobile suit is unable to move but is given a rail gun with the range $R$, which it can shoot down enemies if the distance between the suit and the enemy is less than or equal to $R$.

Luckily, you have a radar that can show the distance between the mobile suit and the N enemies surrounding you. The radar will show you $N$ integers, $X_1$, $X_2$, ..., $X_N$. For the $i$ th enemy, the distance between it and the mobile suit is denoted as $X_i$.

Can you figure out how many enemies you can defeat with the railgun you have?

Input

The first line consists of 2 integers, $N$, $R$. ($1 \le N \le 10^5$, $1 \le R \le 10^9$)
The second line consists of $N$ integers, $X_1$, $X_2$, ..., $X_N$, the readings of the radar. ($1 \le X_i \le 10^9$ for all $1 \le i \le N$)

Output

The output consists of a single integer, the number of enemies you can defeat.

Subtasks

Subtask 1: $N = 1$ (10 pts)
Subtask 2: $N = 2$ (15 pts)
Subtask 3: $N = 3$ (25 pts)
Subtask 4: No additional constraints (50 pts)