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Which of the following inequalities describes a correct relationship between the numbers $a$, $b$, $c$ if $a=4^{2^4}$, $b=3^{4^3}$, $c=2^{3^4}$? (Hint: Barring parentheses, $x^{y^z}$ is equivalent to $x^{\left(y^z\right)}$.)