As we know, Rikka is poor at math. Yuta is worrying about this situation, so he gives Rikka some math tasks to practice. There is one of them:
A wrestling match will be held tomorrow. n players will take part in it. The ith player’s strength point is ai.
If there is a match between the ith player plays and the jth player, the result will be related to |ai−aj|. If |ai−aj|>K, the player with the higher strength point will win. Otherwise each player will have a chance to win.
The competition rules is a little strange. Each time, the referee will choose two players from all remaining players randomly and hold a match between them. The loser will be be eliminated. After n−1 matches, the last player will be the winner.
Now, Yuta shows the numbers n,K and the array a and he wants to know how many players have a chance to win the competition.
It is too difficult for Rikka. Can you help her?