Let $\mathrm{a}>0$. If the function $f(x)=6 x^3-45 a x^2+108 a^2 x+1$ attains its local maximum and minimum values at the points $x_1$ and $x_2$ respectively such that $x_1 x_2=54$, then $\mathrm{a}+x_1+x_2$ is equal to :
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