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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