Unequal Inequality

Algebra Level 5

A A and DD are non-negative real numbers, BB and CC are positive real numbers, such that B+CA+D B+C \geq A+D. Let M=BC+D+CA+B M = \frac {B}{C+D} + \frac {C}{A+B} . What is the minimum value of 200M \lfloor 200M \rfloor ?

Details and assumptions

x \lfloor x \rfloor denotes the greatest integer smaller than or equal to xx. This is known as the greatest integer function, or GIF.

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