Like any other teenager, teen cows are occasionally overtaken by fads. Sometimes it's a hula hoop or a pet rock, other times it's Counterstrike, Pokemon, Rick Astley, or tribal tattoos on their udders.</p>

Mathematically, we know that a fad has an initial attractiveness level L (1 <= L <= 50,000). Cow i has a resistance (0 <= R_i <= 1,000,000) that tells how long she can avoid a fad before having no alternative but to participate. When a fad's attractiveness level meets or exceeds a cow's fad resistance, then the cow will want to participate in the fad.

Each cow who participates in a fad increases (through peer pressure) that fad's attractiveness by some value K (1 <= K <= 2,500).

Given a population of N (1 <= N <= 100,000) cows, determine how many will participate in a fad.

입력 형식

• Line 1: Three space-separated integers: N, L, and K
• Lines 2..N+1: Line i+1 contains cow i's a single integer that is fad resistance: R_i
</ul>

 

출력 형식

• Line 1: A single integer that is the number of cows how ultimately participate in the fad.
</ul>

 

예제 입력

5 2 3
2
6
12
5
14

예제 출력

3