{"status": "success", "data": {"description_md": "There exist $ r$ unique nonnegative integers $ n_1 > n_2 > \\cdots > n_r$ and $ r$ unique integers $ a_k$ ($ 1\\le k\\le r$) with each $ a_k$ either $ 1$ or $ - 1$ such that<br>\n$$ a_13^{n_1} + a_23^{n_2} + \\cdots + a_r3^{n_r} = 2008.<br>\n$$Find $ n_1 + n_2 + \\cdots + n_r$.\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>There exist $ r$ unique nonnegative integers $ n_1 &gt; n_2 &gt; \\cdots &gt; n_r$ and $ r$ unique integers $ a_k$ ($ 1\\le k\\le r$) with each $ a_k$ either $ 1$ or $ - 1$ such that<br/><span class=\"katex--display\"> a_13^{n_1} + a_23^{n_2} + \\cdots + a_r3^{n_r} = 2008.&lt;br&gt;</span>Find $ n_1 + n_2 + \\cdots + n_r$.</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": "2008 AIME II Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/08_aime_II_p05", "prev": "/problem/08_aime_II_p03"}}