{"status": "success", "data": {"description_md": "Let a regular hexagon $ABCDEF$ be inscribed in a unit circle. Let $\\sqrt n$ denote the length of $AC$, where $n$ is not divisible by the square of any prime. Determine $n$.", "description_html": "<p>Let a regular hexagon <span class=\"katex--inline\">ABCDEF</span> be inscribed in a unit circle. Let <span class=\"katex--inline\">\\sqrt n</span> denote the length of <span class=\"katex--inline\">AC</span>, where <span class=\"katex--inline\">n</span> is not divisible by the square of any prime. Determine <span class=\"katex--inline\">n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Christmas Contest - Individual Round - Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_individual-p03", "prev": "/problem/christmas1_individual-p01"}}