{"status": "success", "data": {"description_md": "Point $B$ is in the exterior of the regular $n$-sided polygon $A_1A_2\\cdots A_n,$ and $A_1A_2B$ is an equilateral triangle. What is the largest value of $n$ for which $A_n, A_1,$ and $B$ are consecutive vertices of a regular polygon?\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>Point <span class=\"katex--inline\">B</span> is in the exterior of the regular <span class=\"katex--inline\">n</span>-sided polygon <span class=\"katex--inline\">A_1A_2\\cdots A_n,</span> and <span class=\"katex--inline\">A_1A_2B</span> is an equilateral triangle. What is the largest value of <span class=\"katex--inline\">n</span> for which <span class=\"katex--inline\">A_n, A_1,</span> and <span class=\"katex--inline\">B</span> are consecutive vertices of a regular polygon?</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": "1997 AIME Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/97_aime_p07", "prev": "/problem/97_aime_p05"}}