{"status": "success", "data": {"description_md": "Alice chooses a set $A$ of positive integers. Then Bob lists all finite nonempty sets $B$ of positive integers with the property that the maximum element of $B$ belongs to $A$. Bob's list has $2024$ sets. Find the sum of the elements of $A$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Alice chooses a set <span class=\"katex--inline\">A</span> of positive integers. Then Bob lists all finite nonempty sets <span class=\"katex--inline\">B</span> of positive integers with the property that the maximum element of <span class=\"katex--inline\">B</span> belongs to <span class=\"katex--inline\">A</span>. Bob&#8217;s list has <span class=\"katex--inline\">2024</span> sets. Find the sum of the elements of <span class=\"katex--inline\">A</span></p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2024 AIME II Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/24_aime_II_p07", "prev": "/problem/24_aime_II_p05"}}