{"status": "success", "data": {"description_md": "A positive integer $N$ has base-eleven representation $\\underline{a}\\kern 0.1em\\underline{b}\\kern 0.1em\\underline{c}$ and base-eight representation $\\underline1\\kern 0.1em\\underline{b}\\kern 0.1em\\underline{c}\\kern 0.1em\\underline{a},$ where $a,b,$ and $c$ represent (not necessarily distinct) digits. Find the least such $N$ expressed in base ten.<br>Leading zeroes must be inputted, so if your answer is `34`, then input `034`\n\n___\n\nFull 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>A positive integer <span class=\"katex--inline\">N</span> has base-eleven representation <span class=\"katex--inline\">\\underline{a}\\kern 0.1em\\underline{b}\\kern 0.1em\\underline{c}</span> and base-eight representation <span class=\"katex--inline\">\\underline1\\kern 0.1em\\underline{b}\\kern 0.1em\\underline{c}\\kern 0.1em\\underline{a},</span> where <span class=\"katex--inline\">a,b,</span> and <span class=\"katex--inline\">c</span> represent (not necessarily distinct) digits. Find the least such <span class=\"katex--inline\">N</span> expressed in base ten.<br/>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code></p>&#10;<hr/>&#10;<p>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": 3, "problem_name": "2020 AIME I Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/20_aime_I_p04", "prev": "/problem/20_aime_I_p02"}}