{"status": "success", "data": {"description_md": "Among the $900$ residents of Aimeville, there are $195$ who own a diamond ring, $367$ who own a set of golf clubs, and $562$ who own a garden spade. In addition, each of the $900$ residents owns a bag of candy hearts. There are $437$ residents who own exactly two of these things, and $234$ residents who own exactly three of these things. Find the number of residents of Aimeville who own all four of these things.\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>Among the <span class=\"katex--inline\">900</span> residents of Aimeville, there are <span class=\"katex--inline\">195</span> who own a diamond ring, <span class=\"katex--inline\">367</span> who own a set of golf clubs, and <span class=\"katex--inline\">562</span> who own a garden spade. In addition, each of the <span class=\"katex--inline\">900</span> residents owns a bag of candy hearts. There are <span class=\"katex--inline\">437</span> residents who own exactly two of these things, and <span class=\"katex--inline\">234</span> residents who own exactly three of these things. Find the number of residents of Aimeville who own all four of these things.</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": 3, "problem_name": "2024 AIME II Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/24_aime_II_p02", "prev": ""}}