{"status": "success", "data": {"description_md": "**POTD Challenge December 21, 2023**\n**Author:** qgek\n\nDetermine the smallest integer $n$, $n \\ge4$, for which one can choose four different numbers $a, b, c, d$ from any $n$ distinct integers such that $(a+b)-(c+d)$ is divisible by 20.", "description_html": "<p><strong>POTD Challenge December 21, 2023</strong><br/>&#10;<strong>Author:</strong> qgek</p>&#10;<p>Determine the smallest integer <span class=\"katex--inline\">n</span>, <span class=\"katex--inline\">n \\ge4</span>, for which one can choose four different numbers <span class=\"katex--inline\">a, b, c, d</span> from any <span class=\"katex--inline\">n</span> distinct integers such that <span class=\"katex--inline\">(a+b)-(c+d)</span> is divisible by 20.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "Problem of the Day #32 (Challenge)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}