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egyptian fractions with small denominators

Rust 47.49% CMake 3.26% C 30.10% Mathematica 19.15%
egyptian-fractions rational-numbers rationalization sqrt

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Worst case complexity

Worst case complexity for residua of the reccurring form (a - k) / (b - k d), e.g, 2023/2024 (a = 2023, b = 2024, d = 1, k = 1 to 2023) renders the executable unusable for some larger inputs, e.g. M(9)/M(10), while the solution can concisely be written as a symbolic sum:
complexity

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