{"status": "success", "data": {"description_md": "**POTD July 5, 2024**\n\nLet $z$ be a complex number such that $|z| = 1$ and $|z - 1.45| = 1.05$. If the real part of $z$ can be expressed as $\\frac{m}{n}$ where $m$ and $n$ are relatively prime positive integers, compute $m + n$.", "description_html": "<p><strong>POTD July 5, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">z</span> be a complex number such that <span class=\"katex--inline\">|z| = 1</span> and <span class=\"katex--inline\">|z - 1.45| = 1.05</span>. If the real part of <span class=\"katex--inline\">z</span> can be expressed as <span class=\"katex--inline\">\\frac{m}{n}</span> where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are relatively prime positive integers, compute <span class=\"katex--inline\">m + n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #208", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}