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\[ \sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}{\sqrt{\frac{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}{\sqrt{\frac{\sqrt{x}}{\sqrt{x}}}}}}}}}}}}} \]


\[ \small \sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}^{\sqrt{{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}^{\sqrt{{\sqrt{x}}^{\sqrt{x}}}}}}}}}}}}} \]


\[ \tiny \sqrt{{\sqrt{{\sqrt{{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}^{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}^{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}^{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}}}^{\sqrt{{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}^{\sqrt{{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}^{\sqrt{\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}^\sqrt{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{\frac{x}{x}}}}}}}}}}}}}}}}}}} \]


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