#t161. max 函数

max 函数

The max Function

Problem Background

Special for beginners, ^_^

Problem Description

Given:

$$m={max(a,b,c)\over max(a+b,b,c)\cdot max(a,b,b+c)}$$

Input a, b, c and compute m.

Implement the function that finds the maximum of three integers max(x, y, z) both as a function and as a procedure.

Input Format

Input a, b, c (0 < a, b, c < 10^9).

Output Format

Compute m, accurate to 3 decimal places.

Sample Input

1 2 3

Sample Output

0.200

Constraints

1s, 1024KiB for each test case.