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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.
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.
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