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.

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