{"status": "success", "data": {"description_md": "**POTD March 6, 2024**\n\nLet there be real $a, b, c, d$, such that $ac = bd = \\frac{9}{4}$, and $a + b + c + d = 6$. Find the minimum value of $\\frac{a}{c} + \\frac{b}{d} + \\frac{c}{a} + \\frac{d}{b}$.", "description_html": "<p><strong>POTD March 6, 2024</strong></p>&#10;<p>Let there be real <span class=\"katex--inline\">a, b, c, d</span>, such that <span class=\"katex--inline\">ac = bd = \\frac{9}{4}</span>, and <span class=\"katex--inline\">a + b + c + d = 6</span>. Find the minimum value of <span class=\"katex--inline\">\\frac{a}{c} + \\frac{b}{d} + \\frac{c}{a} + \\frac{d}{b}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #88", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}