MathForces: Math Olympiads
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Author: mathforces
Problem has been solved: 81 times

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In a city with a population of 1777000 people, one person infected with the virus appeared. Every day, each infected person is visited by all their healthy friends, and all of them get sick with the virus the next day. It is known that every person infected with the virus recovers the next day after getting infected. The probability that the epidemic will end sometime can be represented as an irreducible fraction $\frac{m}{n}$, where $m$ and $n$ are positive integer numbers. Find $m+2n$.

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