75 Followers problem

Algebra Level 4

A frog starts at 0 on a number line and plays a game. On each turn the frog chooses at random to jump 1 or 2 integers to the right or left. It stops moving if it lands on a nonpositive number or a number on which it has already landed. If the expected number of times it will jump is p q for relatively prime positive integers p and q, find p + q.

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