{"status": "success", "data": {"description_md": "**POTD May 26, 2024**\n\nLet $a, b, c, d$ be positive real numbers, such that $a^2+b^2 = c^2+d^2$ and $a^2+d^2-ad = b^2+c^2+bc$. If $\\frac{ab+cd}{ad+bc}$ can be expressed as $\\sqrt{\\frac{x}{y}}$, where $x$ and $y$ are positive integers, compute $x+y$.", "description_html": "<p><strong>POTD May 26, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">a, b, c, d</span> be positive real numbers, such that <span class=\"katex--inline\">a^2+b^2 = c^2+d^2</span> and <span class=\"katex--inline\">a^2+d^2-ad = b^2+c^2+bc</span>. If <span class=\"katex--inline\">\\frac{ab+cd}{ad+bc}</span> can be expressed as <span class=\"katex--inline\">\\sqrt{\\frac{x}{y}}</span>, where <span class=\"katex--inline\">x</span> and <span class=\"katex--inline\">y</span> are positive integers, compute <span class=\"katex--inline\">x+y</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #168", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}