{"status": "success", "data": {"description_md": "**POTD June 14, 2024**\n\nA triple of positive integers $(a, b, c)$ is *zesty* if $\\text{lcm}(a, b, c) \\mid a + b + c - 1$ and $a < b < c$. Find the sum of $a + b + c$ across all *zesty* triples.", "description_html": "<p><strong>POTD June 14, 2024</strong></p>&#10;<p>A triple of positive integers <span class=\"katex--inline\">(a, b, c)</span> is <em>zesty</em> if <span class=\"katex--inline\">\\text{lcm}(a, b, c) \\mid a + b + c - 1</span> and <span class=\"katex--inline\">a &lt; b &lt; c</span>. Find the sum of <span class=\"katex--inline\">a + b + c</span> across all <em>zesty</em> triples.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #187", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}