{"status": "success", "data": {"description_md": "Find the largest integer $n$ satisfying the following conditions:<br>$(i)$ $n^2$ can be expressed as the difference of two consecutive cubes;<br>$(ii)$ $2n+79$ is a perfect square.\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 largest integer <span class=\"katex--inline\">n</span> satisfying the following conditions:<br/><span class=\"katex--inline\">(i)</span> <span class=\"katex--inline\">n^2</span> can be expressed as the difference of two consecutive cubes;<br/><span class=\"katex--inline\">(ii)</span> <span class=\"katex--inline\">2n+79</span> is a perfect square.</p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "2008 AIME II Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/08_aime_II_p14"}}