# I Am Taller Than Everyone I See

There are $$N$$ people gathered in line to ride the hyperloop. They are numbered starting from the front. Let $$P_N$$ be the average number of people who are expected to say "I am taller than everyone in front of me."

What is the value of

$\left\lfloor 1000({ P }_{ 200 }-{ P }_{ 198 }) \right\rfloor ?$

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