$A$ 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.

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