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Algorithms for Coding Interviews in C++

Solution: Find the Egyptian Fraction

Explore how to implement a greedy algorithm to find Egyptian fractions by recursively reducing fractions into unit fractions. Understand the step-by-step solution process and analyze the time complexity involved.

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Solution

We can generate Egyptian Fractions using Greedy Algorithm. For a given number of the form n/d, where d > n, first find the greatest possible unit fraction, then perform recursion for the remaining part.

For example, consider 6/146/14. We first find the ceiling of ⌈14/6⌉\lceil 14/6 \rceil ...