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Algebra Level 5

$\dfrac{x^{2}}{y+z}+\dfrac{y^{2}}{x+z}+\dfrac{z^{2}}{x+y}$ Given that, $$x+y+z=n$$. If $$x,y,z$$ are positive real numbers, and the minimum value of the expression above can be expressed as $$25pn$$. What is the value of $$p$$?