+ محدودیت زمان: ۱ ثانیه + محدودیت حافظه: ۲۵۶ مگابایت ---------- Whenever a baby is born in Neverland, a place on the main road of Neverland is assigned to her/him. In every traditional activity, such as morning exercises, the citizens of Neverland take place on their own assigned place on the main road. Unfortunately, during the corona pandemic, all out-door traditional activities of Neverland are canceled. After the approval of the corona vaccine, Neverland’s council has decided to reopen the activities, but of course with a corona-secure regulation. Neverland’s council has assumed that a vaccinated person is safe both in getting infected or in the transmission of the infection. On the other hand for non-vaccinated persons, there is a corona-safe distance that keeping this distance between every two persons keeps them safe. Thus, a safe situation is a situation in which every two non-vaccinated persons keep the corona-safe physical distance. Knowing assigned places to the citizens participating in traditional activities, Neveland’s council has decided to vaccinate a minimum number of citizens to make their activity safe. # ورودی The input consists of two lines. The first line contains two integers separated by a space $n$ ($1$ ⩽ $n$ ⩽ $10^5$), the number of Neverland’s citizens participating in the activities, and the corona-safe distance $L$ ($1$ ⩽ $L$ ⩽ $10^5$), i.e. two persons will not get the virus from each other if their distance is at least L. The next line consists of n integer numbers in the range $[10^5,10^5]$, where the $i-th$ number represents the location of the $i-th$ participating citizen. The location is calculated as the distance in meters from the beginning of the main road of Neverland. # خروجی Print the minimum number of citizens that should be vaccinated to have a safe activity in Neverland. # مثال ## ورودی نمونه ۱ ``` 5 2 -1 0 1 2 3 ```` ## خروجی نمونه ۱ ``` 2 ```` ## ورودی نمونه ۲ ``` 5 4 1 2 4 6 8 ```` ## خروجی نمونه ۲ ``` 3 ````