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Let a,ba, ba,b and ccc positive real numbers such that 1a2+1b2+1c2=9\dfrac{1}{a^2} +\dfrac{1}{b^2} +\dfrac{1}{c^2}=9a21+b21+c21=9. If MMM is the maximum value of the following expression 12a+b+12b+c+12c+a, \frac{1}{2a+b} +\frac{1}{2b+c} +\frac{1}{2c+a}, 2a+b1+2b+c1+2c+a1, enter M2M^2M2 as your answer.
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