Sanghyeon's Physics and Experiment 1 Operation

Sanghyeon is taking Physics and Experiment 1 and measured the densities of $N$ weights, all made of a single material. Each weight is numbered from 1 to $N$, and the density of weight $i$ is $D_i$. He wants to use the densities to find how many different materials the $N$ weights are made of.

However, the density measurements are not exact. If the difference between the densities of two weights is less than the error range $E$, he decides that the two weights are made of the same material. (For example, if the error range is $2$, weights with densities $10$, $11$, $12$, $13$, $14$, and $15$ are all judged to be made of the same material.)

The first line contains two integers $N$ ($1 \le N \le 2 \times 10^5$) and $E$ ($1 \le E \le 10^9$), separated by a space.

The second line contains $N$ integers $D_1, D_2, \cdots, D_N$ ($1 \le D_i \le 10^9$), separated by spaces.

Print the number of materials that the $N$ weights are made of.