{"status": "success", "data": {"description_md": "If $\\dfrac{x}{\\sqrt{y^2 + z^2}} + \\dfrac{y}{\\sqrt{x^2 + z^2}} + \\dfrac{z}{\\sqrt{x^2 + y^2}} > \\alpha$ ($x, y, z \\in \\mathbb{R^+}$), determine $\\alpha_{\\max}$ (find the largest possible value of $\\alpha$).", "description_html": "<p>If <span class=\"katex--inline\">\\dfrac{x}{\\sqrt{y^2 + z^2}} + \\dfrac{y}{\\sqrt{x^2 + z^2}} + \\dfrac{z}{\\sqrt{x^2 + y^2}} &gt; \\alpha</span> (<span class=\"katex--inline\">x, y, z \\in \\mathbb{R^+}</span>), determine <span class=\"katex--inline\">\\alpha_{\\max}</span> (find the largest possible value of <span class=\"katex--inline\">\\alpha</span>).</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 8, "problem_name": "Christmas Contest - Guts Round - Set 9 Problem 2", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}