{"status": "success", "data": {"description_md": "Find the least positive integer $k$ for which the equation $\\lfloor \\frac{2002}{n}\\rfloor = k$ has no integer solutions for $n.$ (The notation $\\lfloor x \\rfloor$ means the greatest integer less than or equal to $x.$)\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>Find the least positive integer <span class=\"katex--inline\">k</span> for which the equation <span class=\"katex--inline\">\\lfloor \\frac{2002}{n}\\rfloor = k</span> has no integer solutions for <span class=\"katex--inline\">n.</span> (The notation <span class=\"katex--inline\">\\lfloor x \\rfloor</span> means the greatest integer less than or equal to <span class=\"katex--inline\">x.</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": "2002 AIME II Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/02_aime_II_p09", "prev": "/problem/02_aime_II_p07"}}