{"status": "success", "data": {"description_md": "For each real number $x,$ let $\\lfloor x\\rfloor$ denote the greatest integer that does not exceed $x.$ For how many positive integers $n$ is it true that $n<1000$ and that $\\lfloor \\log_2 n\\rfloor$ is a positive even integer.\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>For each real number <span class=\"katex--inline\">x,</span> let <span class=\"katex--inline\">\\lfloor x\\rfloor</span> denote the greatest integer that does not exceed <span class=\"katex--inline\">x.</span> For how many positive integers <span class=\"katex--inline\">n</span> is it true that <span class=\"katex--inline\">n&lt;1000</span> and that <span class=\"katex--inline\">\\lfloor \\log_2 n\\rfloor</span> is a positive even integer.</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": "1996 AIME Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/96_aime_p03", "prev": "/problem/96_aime_p01"}}