{"status": "success", "data": {"description_md": "**POTD March 13, 2024**\n\nFind the sum of all positive integers $n>2$ such that:\n\n$$\\forall (a_1,a_2,\\ldots,a_n)\\in  \\mathbb R^n \\sum_{i=1}^{n}\\prod_{1\\le j \\le n, j\\neq i} (a_i-a_j)\\ge  0 $$", "description_html": "<p><strong>POTD March 13, 2024</strong></p>&#10;<p>Find the sum of all positive integers <span class=\"katex--inline\">n&gt;2</span> such that:</p>&#10;<p><span class=\"katex--display\">\\forall (a_1,a_2,\\ldots,a_n)\\in  \\mathbb R^n \\sum_{i=1}^{n}\\prod_{1\\le j \\le n, j\\neq i} (a_i-a_j)\\ge  0</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #95", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}