Description

Given: $m=\\frac{\\max(a,b,c)}{\\max(a+b,b,c) × \\max(a,b,b+c)}$. Input $a, b, c$ and compute $m$. Implement the function to find the maximum of three numbers $max(x, y, z)$ as both a function and a procedure.

Input Format

Input $a, b, c$.

Output Format

Compute $m$, rounded to three decimal places.

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 0.200