Unequal Inequality

Algebra Level 5

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

Details and assumptions

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