AMB - EDITORIAL

Difficulty: Medium

Pre-requisites: Mathematics

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Problem:

An amoeba of generation i divides itself into Ai amoebas and takes X days to divide. Find the number of amoebas left after M days.

Explanation:

We are starting with one amoeba. After X days we would have sum = 1+A1 amoebas, after X more days we will have sum = sum+A2 amoebas. The process is to be continued M-1 times to compute the number of amoebas left post M days.

Problem setter’s solution: SOLUTION